Using compound interest, it is found that he must deposit $56,389.
Compound interest:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
Hopes to have $80,000 in 20 years, thus [tex]t = 20, A(t) = 80000[/tex].Interest rate of 1.75%, thus [tex]r = 0.0175[/tex].Compounding monthly, thus [tex]n = 12[/tex]The investment is of P, for which we have to solve.Then:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]80000 = P(1 + \frac{0.0175}{12})^{12(20)}[/tex]
[tex]P = \frac{80000}{(1 + \frac{0.0175}{12})^{12(20)}}[/tex]
[tex]P = 56389[/tex]
He must deposit $56,389.
A similar problem is given at https://brainly.com/question/25263233
please solve for me
Answer:
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Step-by-step explanation:
Szjnznz s8sbbsnsjs
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Rachel earns $42,000 per year. Find how much she would make if she was paid weekly, semimonthly, and monthly.
Answer:
in a monthly shy much $3500
in a weekly she much $807.69
Step-by-step explanation:
Answer:
Below! : )
Step-by-step explanation:
$3,500 monthly
$807.69 per week
$1,615.38 biweekly
Hope this helps! : )
Just add a random answer
A local gym charges nonmembers $8 per day to use the volleyball courts. Members pay a yearly fee of $150 and $2 per day to use the volleyball courts. Write and solve an equation to find how many days you must use the volleyball courts to justify becoming a member.
Answer:
150+2x=8y the answer is 26
Step-by-step explanation:
at 25 it is equal so it has to be above it to justify it
A sample of 2,000 union members was selected, and a survey recorded their opinions regarding a proposed management union contract. A total of 1,600 members were in favor of it. A 95% confidence interval estimated that the population proportion was between 0.78 and 0.82. This indicates that about 80 out of 100 similarly constructed intervals would include the population proportion.
a. True
b. False
Answer:
a
Step-by-step explanation:
True, the 95% confidence interval suggests that there is a high likelihood (about 80 out of 100 intervals) that the true population proportion of union members in favor of the proposed management union contract falls between 0.78 and 0.82.
The confidence interval estimated for the population proportion of union members in favor of the proposed management union contract was between 0.78 and 0.82, with a confidence level of 95%.
The confidence level represents the probability that the interval contains the true population parameter.
In this case, with a confidence level of 95%, it means that if we were to repeat the survey and construct 100 similar confidence intervals, approximately 95 of those intervals would contain the true population proportion.
Therefore, when it is stated that "about 80 out of 100 similarly constructed intervals would include the population proportion," it means that the estimated confidence interval aligns with the confidence level of 95%, indicating that approximately 80% of those intervals would contain the true population proportion.
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Write the slope intercept form of the equation of the line through the given point with the given slope.
(0,-1), slope=3
Step-by-step explanation:
y=mx+c
-1=3(0)+c
c=-1
y=3x-1
What is 5,000 + 5,000?
Answer:
5,000+5,000= 10000
Step-by-step explanation:
A 3-sided polygon that contains a 90° angle is called:
Question 3 options:
A) Pythagorean theorem
B) hypotenuse
C) right triangle
D) Legs
Answer:
c right triangle
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A: Method that is used to find either the legs or the hypotenuse of a right triangle.
B: Diagonal line of a right triangle, also used in the Pythagorean Theorem
C: 3-sided shape with a 90-degree angle
D. Lenth and height of a right triangle, used in the Pythagorean Theorem
What is the definition of a rational function?
Answer:
any function which can be written as the ratio of two polynomial functions.
have a nice day <3
Autumn spent a third of her weekly allowance on a shirt she liked. In order to earn more money her parents allowed her to mow the grass for $20. What is her weekly allowance if she ended with $31
which is the correct simplification:
giving brainliest
Answer:
The answer is letter E.........
Answer:
Step-by-step explanation:
Can you help me find x
8th grade math
Answer:
x=53
Step-by-step explanation:
all triangles equal 180° the little lines on each side mean both sides are same length so all u gotta do is
180-74=106
106/2= 53
Answer:x=52
180-74=104
104 divided by 2 to get 52
Step-by-step explanation: you would have to divide because both sides are the same size so they would be even. so that is how you would get the answer 52
Find the value of this expression if x = -2.
X - 4
X
Can you help me solve this please
adhir man gati kam ke prachin kaun charitra hai iska uttar kya hoga
A book has 5 pages,10 copies of the same books will be made .How many pages will be printed?
Answer:
50
Step-by-step explanation:
5 pages * 10 copies = 50 pages
A squirrel burrowed 6 holes in 2 minutes. How many holes could the squirrel burrow in 7 minutes?
Answer:
21 holes
Step-by-step explanation:
6 holes/2 minutes = x/7 minutes (cross multiply)
(6*7)/2 = 42/2 = 21 holes
SOMEONE PLEASE HELP!!
I need someone to explain how to simplify radicals.
The picture is attached
Answer:
35√2
Step-by-step explanation:
[tex]5\sqrt{98}[/tex] = [tex]5\sqrt{2*49}[/tex] = 5 × √2 × √49 = 5 × 7 × √2 = 35√2
A 2-column table with 6 rows. Column 1 is labeled Height (inches) with entries 30, 46, 49, 63, 67, 73. Column 2 is labeled Arm Span (inches) with entries 27, 45, 47, 63, 69, 71.
1. Label axes according to input/output.
is the x–axis label.
is the y–axis label.
2. Plot the ordered pairs of the independent/dependent variables.
The ordered pair
is found in the scatterplot.
Answer:
1. Hight (in.)
2.Arm span (in.)
3.(30,27)
Answer:
1. Hight (in.)
2.Arm span (in.)
3.(30,27)
Step-by-step explanation:
I'm late but hope this helps
greatest common factor of 5, 6 and 15
Answer:
1
Step-by-step explanation:
As you can see when you list out the factors of each number, 1 is the greatest number that 5, 6, and 15 divides into.
Which describes how to find the solution to 3p < 14?
Answer:
p < 14/3
Step-by-step explanation:
Answer:
a.divide both sides with 3
Step-by-step explanation:
If (1 + 2x)^5+ (1 - 2x)^5 = a + bx + cx?
find the values of the constants a, b and c.
Answer:
steps below
Step-by-step explanation:
5th level of Pascal triangle: 1,5,10,10,5,1
(1+2x)⁵ = 1*1⁵*(2x)⁰+5*1⁴*2x+10*1³*(2x)²+10*1²*(2x)³+5*1¹(2x)⁴+1*1⁰*(2x)⁵
= 1 + 10x + 40x² + 80x³ + 80x⁴ + 32x⁵ .. (1)
(1-2x)⁵ = 1 - 10x + 40x² - 80x³ + 80x⁴ - 32x⁵ .. (2)
(1)+(2): (1+2x)⁵ + (1-2x)⁵ = 160x⁴ + 80x² +2
a + bx + cx ?? suppose it's ax⁴ + bx² + cx, if you have other set up.. adjust by yourself
a = 160, b = 80, c = 2
I need some help with this plz
Answer: acute angle
Step-by-step explanation:
Select the better deal in the pair. Then give the unit rate for the better deal.
$272/
8 g
or
$369/
9 g
Answer:
The better deal is $272/ 8 g
369/9=41 per gram
272/8=34 per gram
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<3 Miss Hawaii
A chef made 20 desserts in
60 minutes. How many
minutes would it take him
to make 90 desserts?
joseph traveled from Boston to Framingham at 50 mph and then back to boston at 40 mph, What was Joseph average speed on the round trip
*IT SAYS 45 IS NOT THE ANSWER*
*EXPLAIN HOW TO SOLVE IT*
30 BRAINLY POINTS!!!!!
AND BRAINLIEST!
Answer: 44.44 mph
(50 + 40) / 2 = X
88.88/2 = X
44.44= X
Step-by-step explanation:
700, 3128, 5024,9000,10018 cuáles son divisibles entre 8
Answer:
3128, 5024, 9000
Step-by-step explanation:
3128÷8=391; 5024÷8=628; 9000÷8=1125
Select the correct answer.
Answer: a
Step-by-step explanation:
Find the unknown sizes of angles in the following figure (I need step by step explanation and i might give brainliest):
Answer:
x = 54° , y = 29°
Step-by-step explanation:
The sum of the 3 angles in Δ ABC = 180° then
x = 180° - (72 + 54)° = 180° - 126° = 54°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of Δ CQR , then
y + 25° = x
y + 25° = 54° ( subtract 25° from both sides )
y = 29°
Answer:
x = 54
y = 29
Step-by-step explanation:
First, find the magnitude of x. To do this, add the angles inside triangle ABC, which means to add 72 + 54 + x which is equal to 180 because of the rule, the sum of the interior angles of a triangle is 180. So, when the equation is simplified, you get the answer as x = 54. Then, find the magnitude of y. The magnitude of an angle drawn around a point on a straight line is always 360, and the magnitude of the same point, but only on one side of the straight line is always 180. So, we can say that the unnamed angle in the triangle CQR is 180-x, which means 180-54 because we got x as 54 earlier. Therefore, the magnitude of the unnamed angle is 126. Now, apply the same rule we used before, the sum of the interior angles of a triangle is 180, to the triangle QCR. 25 + 126 + y = 180. When this is simplified, 29 is obtained.
To find x,
72 + 54 + x = 180 (the sum of the interior angles of a triangle is 180)
126 + x = 180
126 + x - 126 = 180 - 126
x = 54
To find y,
25 + 126 + y = 180
151 + y = 180
151 + y - 151 = 180 - 151
y = 29
Which number line represents all of the values of x for the equation x2 = 36?
Answer:
D
Step-by-step explanation: