It's difficult to determine exactly how much interest Timothy will pay over 30 years without more information about the terms of his mortgage. However, we can use the following formula to calculate his monthly mortgage payment, which includes both the principal and the interest:
Monthly payment = P * (r/12) / (1 - (1 + r/12)^(-n))
Where:
P is the principal amount (the total cost of the house minus the down payment)
r is the monthly interest rate (we need to convert the annual interest rate to a monthly rate by dividing it by 12)
n is the number of payments (in this case, the number of months over which Timothy will pay off the mortgage, which is 30 years * 12 months/year = 360 months)
We can plug in the given values to find Timothy's monthly payment:
Monthly payment = $360,000 * (0.04/12) / (1 - (1 + 0.04/12)^(-360)) = $1,375.69
To find the total amount of interest Timothy will pay over 30 years, we would need to know the interest rate on his mortgage and the length of the loan in months. With this information, we could calculate the total amount of interest Timothy will pay by multiplying his monthly payment by the number of payments he makes (360 payments in this case) and subtracting the principal amount ($360,000).
a store has a sale where all jackets are sold at a discount of 40%. If the regular price of the jackets is $80, how many jackets could be bought at the sale if a shopper spent $576
Answer:
The shopper can but 12 jackets.
Step-by-step explanation:
80*.6 (100% - 40% = paying 60% or .6) = 48
576 / 48 = 12
Here we have a problem of percentage discounts, such that we need to find how much a given price decreases, and how many jackets we can buy considering the decreased price.
We will find that the number is 12.
Now let's see how we can get that result:
If something has an original price P, and we discount an x% of that price, the new price will be:
[tex]np = P\cdot(1 - x\%/100\%)[/tex]
Here we know that the regular price of a jacket is $80
And we have a discount of 40%
This means that the new price of these jackets will be:
[tex]np = \$80\cdot (1 - 40\%/100\%) = \$80\cdot (1 - 0.4) = \$80\cdot 0.6 = \$48[/tex]
Now we want to know how many of these jackets we can buy with $576
This will be equal to the quotient between the money we have and the new price of each jacket:
[tex]N = \$576/\$48 = 12[/tex]
This means that we can buy exactly 12 jackets at the sale.
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Which of the following expressions is a polynomial?
Answer:
b is a polynomial
Step-by-step explanation:
[tex]f(x) = {x}^{3} - 11 {x}^{2} + {3}^{x} [/tex]
Simplify the following? (x^5)^4
What is the exact value of
sin
What is the growth factor of the following example? Assume time is measured in the units given.
A forest shrinks 80% per century.
a. 20 per century c. 80 per century
b. 0.20 per century d. 0.80 per century
Please select the best answer from the choices provided
Answer:
B. 0.20 per century
Step-by-step explanation:
I calculated it logically
Huilan is 7 years older than Thomas. The sum of their ages is 79. What is Thomas’s age?
Answer:
To solve this problem, we can set up the following equation:
Huilan's age + Thomas's age = 79
Let H be Huilan's age and T be Thomas's age. We can then rewrite the equation as:
H + T = 79
We are told that Huilan is 7 years older than Thomas, so we can write the following equation:
H = T + 7
Substituting the second equation into the first equation, we get:
(T + 7) + T = 79
Combining like terms, we get:
2T + 7 = 79
Subtracting 7 from both sides, we get:
2T = 72
Dividing both sides by 2, we get:
T = 36
Therefore, Thomas's age is 36 years.
Step-by-step explanation:
Answer:
let Thomas age be a
there fore, hullans age is a+7
(a+7)+a=79
2a=79-7
2a=72
a=36
Help
A shade of green paint is made by mixing `2` cups of yellow with `3.5` cups of blue.
Write a recipe for a mixture that will make the same shade of green but a larger amount.
A recipe for a mixture that will make the same shade of green but a larger amount is =4 Cups of Yellow + 7 Cups of Blue
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
A shade of green paint is made by mixing `2` cups of yellow with `3.5` cups of blue.
Now,
2 Cups of Yellow + 3.5 Cups of blue
Multiply all by 2
=4 Cups of Yellow + 7 Cups of Blue
Hence, a recipe for a mixture that will make the same shade of green but a larger amount is =4 Cups of Yellow + 7 Cups of Blue
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Question 5(Multiple Choice Worth 2 points)
(Sample Spaces LC)
A paper bag has seven colored marbles. The marbles are pink, red, green, blue, purple, yellow, and orange. List the sample space when choosing one marble.
A s= (1, 2, 3, 4, 5, 6
B s=(purple, pink, red, blue, green, orange, yellow}
C s=(g. r, b. y. o, p)
D s= (green, blue, yellow, orange, purple, red)
The sample space when choosing one marble will be B s=(purple, pink, red, blue, green, orange, yellow}
What is sample space?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample space may contain a variety of outcomes.
A paper bag has seven colored marbles. The marbles are pink, red, green, blue, purple, yellow, and orange. The sample space when choosing one marble will be all the colors. The correct option is B.
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800 miles in 5 hours miles per hour
Here is a graph of the function h.
Use the graph to find the following
If there is more than one answer, separate them with commas
(a)
All local minimum values of
h
(b) All values at which h has a local minimum:
The graph also shows two other local maxima, at x=0.5 and x=1.5.
The local minimum(a) -4, -2, 0, 2 (b) The local minimum values of h occur at x = -4, -2, 0, and 2.These values can be seen on the graph as points at which the graph of h changes from decreasing to increasing.At each of these points, the value of h is at a minimum compared to the values of h on either side of the point.All values at which h has a local maximum: 0.5, 1.5All local maximum values of h: 2.5, 4.5.The graph of the function h is a parabola that opens upwards, with a turning point at x=1.This indicates that the function has a local maximum at this point.The local maximum values of h at these points can be determined by looking at the y-values at these points, which are 2.5 and 4.5 respectively.To learn more about All local minimum values refer to:
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In a school containing 360 children, 198 are girls. What percent of all children are girls? What percent of the children are boys? The number of girls is what percent of the number of boys? The number of boys is what percent of the number of girls?
the number of girls is _____% of the number of boys.
Answer:
1st question :55%
2nd ":122.22%
3rd ":81.82%
Proving Triangles congruent by ASA and AAS
Answer: Congruent by AAS
Step-by-step explanation:
FG and EH are congruent because they are given.
EH is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.
FG is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.
Angle G is congruent to Angle E because they are both right angles, and right angles are congruent.
Angle EIH and Angle FIG are congruent because of the vertical angles theorem.
Triangle EHI and Triangle GFI are congruent by the Angle-Angle-Side Theorem, or AAS.
Write the equation of a line that is parallel to {y=-0.75x}y=−0.75xy, equals, minus, 0, point, 75, x and that passes through the point {(8,0)}(8,0)left parenthesis, 8, comma, 0, right parenthesis.
Answer:
[tex]y = 0.75x - 6[/tex]
Step-by-step explanation:
Given
Parallel to:
[tex]y = 0.75x[/tex]
Passes through
[tex](8,0)[/tex]
Required
The equation
The slope intercept form of an equation is:
[tex]y = mx + b[/tex]
Where:
[tex]m \to[/tex] slope
So, by comparison:
[tex]m = 0.75[/tex]
For a line parallel to [tex]y = 0.75x[/tex], it means they have the same slope of:
[tex]m = 0.75[/tex]
The equation of the line is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
Where:
[tex]m = 0.75[/tex]
[tex](x_1,y_1) = (8,0)[/tex]
So, we have:
[tex]y = 0.75(x - 8) + 0[/tex]
Open bracket
[tex]y = 0.75x - 6 + 0[/tex]
[tex]y = 0.75x - 6[/tex]
Please pleaseeeee help me outtt, I need it quickkk will give brainliest
Answer:
-132
Step-by-step explanation:
Split the summation to make the starting value of
k equal to 1.
Answer:S6 = - 132
Step-by-step explanation:
PLEASE HELP!!! 15 points!
Answer:
-134/4
Step-by-step explanation:
It equals -33.75.
Answer:
-1215/32Explanation:
90 × (-3/4) = -135/2
-135/2 × (-3/4) = 405/8
405/8 × (-3/4) = -1215/32
(-3 squared +3) divided by
(10 – 6)
Answer:
research it many my answer will be wrong
3
Step-by-step explanation:
-3 square is 9, adding 3 you will have 12. 10-6 is 4. so dividing 12 by 4 would give you 3.
Say you take out a loan with a principal of $44,500. The interest rate is 13.11%, compounded monthly. If you make
consistent monthly payments and pay off the loan over the course of six and a half years, how much interest will you
have paid in total? Round dollar amounts to the nearest cent.
a. $21,849.92
b. $3,018.03
C. $20,003.60
d. $24,321.18
The total amount of interest you will have to pay is $21,849.92. As a result, choice A is accurate.
What is monthly compounding?Compound monthly is the term used to describe a loan's interest rate, which is added to the principle each month and charged in installments. For instance, a $1,000 loan with a 12% annual interest rate compounded monthly would become $1,010 after the first month if the interest rate was 1%.
Monthly compounding is calculated by multiplying the principal amount by one plus the interest rate by the number of periods, raised to the power of the number of periods. This quantity is subtracted from the principal amount to determine the interest amount.
Thus;
[tex]Interest = 44,500(1 + 0.1311/100)^{6.5} \\= $21,849.92[/tex]
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In an acid-base titration, a base or acid is gradually added to the other until they have completely neutralized each other. Because acids and bases are usually colorless (as are the water and salt produced in the neutralization reaction), pH is measured to monitor the reaction. Suppose that the equivalence point is reached after approximately 100 mL of a NaOH solution have been added (enough to react with all the acetic acid present) but that replicates are equally likely to indicate from 95 to 104 mL to the nearest mL. Assume that volumes are measured to the nearest mL and describe the sample space. (a) What is the probability that equivalence is indicated at 100 mL? (b) What is the probability that equivalence is indicated at less than 100 mL? (c) What is the probability that equivalence is indicated between 98 and 102 mL (inclusive)?
Neglecting the fractional points and taking the whole number values for volume, the probability of getting equivalence point at 100 ml is 1/10. The probability of getting less than 100 ml is 1/2.
What is probability?The probability is the measurement of the chance of an event to happen. It is determined based on the total possibilities and criteria.
Given that the experiment trials got the values from 95 to 104. From 95 to 104, there are 10 numbers. Thus, the volume of the acid can be any of these 10.
Thus, total possibility = 10.
probability of getting 100 = 1/10
There are 5 volumes which are less than 100 here, [95, 99]. Thus, the probability = 5/10 = 1/2.
There are 5 values between 98 and 102 including these two values.
Hence, probability of getting these range = 5/10 = 1/2.
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Kenneth rode his skateboard 3 miles to the park and it took him 30 minutes. What was his speed
in miles per hour?
Answer:
[tex]speed = \frac{distance}{time} \\ = \frac{3}{( \frac{30}{60} )} \\ = 3 \times 2 \\ = 6 \: miles \: per \: hour[/tex]
In an experiment, the probability that event A occurs is 6/7, the probability that event B occurs is 4/5, and the probability that event A and B both occur is 2/3. what is the probability that A occurs given that B occurs?
Answer:
The probability that A occurs given that B occurred is 333/400, that is, 83.25%.
Step-by-step explanation:
Since in an experiment, the probability that event A occurs is 6/7, the probability that event B occurs is 4/5, and the probability that event A and B both occur is 2/3, to determine what is the probability that A occurs given that B occurs the following calculation must be performed:
4/5 = 0.8
2/3 = 0.666
0.8 x X = 0.666
X = 0.666 / 0.8
X = 0.8325
0.8325 = 333/400
Therefore, the probability that A occurs given that B occurred is 333/400, that is, 83.25%.
plz help quick 100 points
Answer:
30
Step-by-step explanation:
49-31+12= 30
___________
In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 12 times out of 15 attempts. Tasha has hit the ball 9 times out of 10 attempts. Which player has a ratio that means they have a better batting average? Tasha, because she has the lowest ratio since 0.9 > 0.8
B) Tasha, because she has the highest ratio since 27 over 30 is greater than 24 over 30
C) Jana, because she has the lowest ratio since 0.9 > 0.8
D) Jana, because she has the highest ratio since 27 over 30 is greater than 24 over 30
Step-by-step explanation:
as the description says, the higher the ratio the better.
9/10 = 0.9
12/15 = 4/5 = 0.8
so, Tasha has the better batting average, as she has the higher ratio.
9/10 = 27/30
12/15 = 24/30
27/30 is higher than 24/30.
Which is the equivalent of 145.12° written in DMS form?
A. 145° 7' 2"
B. 145° 12' 0"
C. 145° 2'36"
D. 145° 7' 12"
Answer:
the answer is
B. 145° 12' 0"
If 4 people share a 1/2 pound chocolate bar, how much chocolate will each person receive?
Answer:
1/8 pound per person
Step-by-step explanation:
What is the equation of the line that passes through the point (-4,-4) and has a
slope of -3/4?
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- \cfrac{3}{4}}(x-\stackrel{x_1}{(-4)}) \implies y +4= -\cfrac{3}{4} (x +4) \\\\\\ y+4=-\cfrac{3}{4}x-3\implies {\Large \begin{array}{llll} y=-\cfrac{3}{4}x-7 \end{array}}[/tex]
Answer:
y = -3/4x - 7
Step-by-step explanation:
Given: slope = m = -3/4
Plug this value into the standard slope-intercept equation of y = mx + b.
y = -3/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, point (-4, -4). Plug in the x and y values into the x and y of the standard equation.
-4 = -3/4(-4) + b
To find b, multiply the slope and the input of x(-4)
-4 = 3 + b
Now, subtract 3 from both sides to isolate b.
-7 = b
Plug this into your standard equation.
y = -3/4x - 7
This is your equation.
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What is the volume of a cone that has a radius of 9 inches and a height of 16 inches? Use 3.14 for
Answer:
1357.17 inches³
Step-by-step explanation:
Answer:
Step-by-step explanation:
If this not right I am sorry I got 1357.17 the radius is 9in the height is 16 in
Sorry if I am not right
If the sun is 57 degrees above the horizon, find the length of the shadow cast by a building 56 ft tall. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
The Length of shadow is 35.56 ft.
Given that,
If the sun is 68° above the horizon.
Based on the above information, the calculation is as follows:
tan68° =BC divide AC
tan68° =88 divide b
b =88 divide tan68°
=88 divide 2.475
= 35.56 ft.
The radius of a cylinder is 3 cm and the height is 6 cm.
Find the Lateral Area.
O 1541
0 5611
O 9611
3611
Answer:
Lateral Area of a Cylinder = 2πrh
=2π x 3 x 6
=36π
Option D
WILL MARK BRAINLIEST
Calculate the value of X in square DCBA
Answer:
45 degree , bc the ends are all 90 degree so divide 90 by two since the line crosses right in between
Answer:
45°
That looks like an Isosceles triangle so two sides are equal
The angle near O would be 90° cause that looks like an right angle
180-90=90
To find each angle divide by 2
90÷2=45
Will give brainly if right
Answer:
you are correct, it is all of the above