There is a $1,000 additional interest earned on a $100,000 CD (Commercial Paper) for 9 months than for 6 months.
How is the additional interest determined?The additional interest earned for a 9-month CD over a 6-month CD can be computed using the subtraction operation.
Firstly, the interests on the 9-month CD and 6-month CD are worked out separately, using the interest formula: Principal x Rate x Time.
The interest for the 6-month CD is subtracted from the interest for the 9-month CD. The result is the difference or additional interest earned.
Commercial Deposit = $100,000
Annual Percentage Rate = 4%
Monthly Percentage Rate = 0.333% (4%/12)
Interest for 9 months = $3,000 ($100,000 x 4% x 9/12)
Interest for 6 months = $2,000 ($100,000 x 4% x 6/12)
The difference in interest earned = $1,000 ($3,000 - $2,000) or ($100,000 x 4% x 3/12)
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Question Completion:APY = 4%
Last Saturday an accident caused a traffic jam 13 miles long on a stretch of the
interstate.
a. How many vehicles do you think were in the traffic jam if the average car's
length measures approximately 15 feet? Explain your thinking and show all
calculations.
b. Would there be more or less vehicles if you were told there were a large
number of SUVs and trucks present in this traffic jam? Explain your thinking and
show all calculations.
There would have been 4576 cars in the traffic. If SUVs and Trucks are involved in jam, there would be fewer vehicles.
What is logical reasoning?Logical or deductive reasoning involves using a given set of facts or data to deduce other facts by reasoning logically.
Given that, Last Saturday, an accident caused a traffic jam 13 miles long on a stretch of the interstate.
13 miles = 68,640 feet
One car is of 15 ft
Let there be x cars,
15x = 68,640
x = 4576
Therefore, there are 4576 cars in traffic.
If there are more SUVs and trucks, their length will be more than a car and which will make less number of vehicles involved in the traffic.
Hence, There would have been 4576 cars in the traffic. If SUVs and Trucks are involved in jam, there would be fewer vehicles.
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An exponential function has a starting value of 13 and a growth rate of 0.78%. Write an equation to model the situation.
Answer:
The equation that models the situation is [tex]A(t) = 13(1.0078)^t[/tex]
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the starting value and r is the growth rate, as a decimal.
Starting value of 13 and a growth rate of 0.78%.
This means that [tex]A(0) = 13, r = 0.0078[/tex]
Write an equation to model the situation.
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 13(1+0.0078)^t[/tex]
[tex]A(t) = 13(1.0078)^t[/tex]
The equation that models the situation is [tex]A(t) = 13(1.0078)^t[/tex]
Mark and Connie are insure for 80% of the replacement value of their home, which is valued at $245,000. How much is the policy amount on their house?
Answer:
$196000Step-by-step explanation:
Value of the home = $245000Insurance = 80%Policy amount:
$245000*80/100 = $196000Answer:
$196,000
Step-by-step explanation:
Given information:
Value of home = $245,000Insurance replacement percentage = 80%To find the policy amount on their house, find 80% of the value of the home:
[tex]\begin{aligned}\sf Policy\:amount & = \sf 80\%\:of\:245000\\\\& = \sf \dfrac{80}{100} \times 245000\\\\& = \sf \dfrac{80 \times 245000}{100}\\\\& = \sf \dfrac{19600000}{100}\\\\& = \sf 196000\end{aligned}[/tex]
Therefore, the policy amount on Mark and Connie's house is $196,000.
Need help :(( you can answer one or both of the questions
What if I only know the length of the shorter side consider the triangle equilateral triangle than determine the values of n and m without using a calculator
Answer: An equilateral triangle is a three-sided polygon with three equal sides and three equal angles of 60 degrees each. If you know the length of one of the sides of an equilateral triangle, you can use the formula for the area of an equilateral triangle to determine the values of n and m. The formula for the area of an equilateral triangle is:
Area = (sqrt(3)/4) * s^2
where s is the length of one of the sides of the triangle.
To determine the values of n and m, you can rearrange the formula to solve for s. For example, if you know that the area of the triangle is n and the value of m is the length of one of the sides of the triangle, you can rearrange the formula to solve for s:
s = sqrt(4n/sqrt(3))
Then, you can use the value of s to determine the value of m.
Step-by-step explanation:
The weights of a breed of dog are normally distributed with mean 22 lbs and standard deviation 1.6 lbs. Out of randomly selected sample to 200 dogs. How many might you expect to weigh more than 23 lbs? Round your answer to the nearest whole dog.
Answer: C or
41*67/2=1373.5
Step-by-step explanation:
Hi
Lucas hosted a New Year's dinner for his employees.
The total bill was $1,011.50. He left the server a 20%
tip. How much money did Lucas tip the server?
Round your answer to the nearest hundredth.
Answer:
$202.30
Step-by-step explanation:
You want to know the value of a 20% tip on a bill of $1011.50.
TipThe tip amount can be found by multiplying the bill amount by the tip percentage:
20% · $1011.50 = $202.30
Lucas tipped the server $202.30.
__
Additional comment
You know that 10% of the amount can be found by moving the decimal point one place: $101.15.
20% of the amount will be double this value: $202.30. You can do this math mentally.
4 is greater than x, and x is greater than -7. Write the following as an inequality.
Answer:
4 > x > -7
Step-by-step explanation:
4 > x > -7
Because we usually put lower numbers to the left on a number line
the convention is to present this as
-7 < x < 4
Answer:
4 < x > - 7
Step-by-step explanation:
4 < x
x < - 7
4 < x > - 7
Mr. Levy buys .25 lbs of turkey at the store. The turkey costs $2.55. How much does Mr. Levy spend?
Answer:
about 64 cents
Step-by-step explanation:
Need help on this question
Answer:
b
Step-by-step explanation:
Answer:
option b
i.e-
(-1,3) and (2,6)
Step-by-step explanation:
The solution of two graphs are the point where they intersect each other.
Above, they intersect each other at two points
Find the volume of a sphere with a diameter of 4 inches. Use 3.14 for π. Round your answer to the nearest tenth.
Answer:
V≈33.51in³
Step-by-step explanation:
have a great day!
how long will it take me to finish 25 episodes anime with over 24 minutes each episode?
Answer:
9.583 hours
Step-by-step explanation:
multiply both of them and divide by 60 youll get. how long it will take for u to complete an anime
In triangle RST, find the value of X. Round to the nearest tenth.
Answer:
238.9
Step-by-step explanation:
check the above attachment to verify the answer.
Denise and Gabe met for dinner in downtown Belmont. Denise did flat-rate valet parking for $20. Gabe went to another valet and paid $4 up front and $4 for every hour, including the first hour. Ultimately, the friends ended up paying the same amount. How long did they stay? How much did each one pay?
Megan made a 4 lb batch of spaghetti sauce she put them in jars that can each hold 2/3 pound of sauce how many jars was she be able to feel
2.
A cashier at the grocery store helped 2 customers in 10
minutes. At this rate, how many customers can he help in 30 minutes? Write a proportions & solve.
a) 160 customers
b) 0.6 customers
C) 6 customers
d) 5 customers
hope this helps you....have a nice day..
Which is closest to the height of a pine tree?
The first, second and fourth terms of
a proportion are 16, 24 and 54
respectively. Then the third term is:
Answer: 36
Step-by-step explanation:
This is a geometric progression. The formula for a geometric progression is given as:
= ar^n-1
where
a = first term = 16
r = common ratio = 24/16 = 1.5
n = 3
Therefore, the 3rd term will be:
= ar^n-1
= 16 × 1.5^3-1
= 16 × 1.5²
= 36
Therefore, the third term of the progression is 36.
lz helpp me i beg il give brainliest
Answer:
25% × ? = 9
? =
9 ÷ 25% =
9 ÷ (25 ÷ 100) =
(100 × 9) ÷ 25 =
900 ÷ 25 =
36
Answer:
The answer is 36
When finding a percentage you would typically multiply the decimal. Example 20% of 100. Multiply 100 x 0.20 = 20
When trying to do the opposite you would do the inverse (opposite) operation. So the inverse (opposite) operation of mulitplication is division.
Example: 20% of what number w is 20? Divide 20/0.20 = 100
Okay now lets solve your problem!
25% of what number w is 9? Divide 9/0.25 = 36
Step-by-step explanation:
25% in decimal is 0.25
9 / 0.24 = 36
please hurry need done asap
Answer:
the answer is the third equation
hope it helps
Answer:
Last option is the correct answer
[tex] (\sqrt[3]{2x - 6})^{3} = (- \sqrt[3]{2x + 6})^{3}[/tex]
Step-by-step explanation:
[tex] \sqrt[3]{2x - 6} + \sqrt[3]{2x + 6} = 0 \\ \sqrt[3]{2x - 6} = - \sqrt[3]{2x + 6}\\ cubing \: both \: sides\\ (\sqrt[3]{2x - 6})^{3} = (- \sqrt[3]{2x + 6})^{3}[/tex]
help pls fractionsss tyy
The amount of syrup she needs is 3/4 cups of syrup. Option A
What is a fraction?A fraction can be described as the part of a whole variable, element or number.
The several types of fractions are;
Mixed fractionsProper fractionsImproper fractionsComplex fractionsSimple fractionsAlso, proportion can be defined as a mathematical comparison between two numbers
From the information given, we have that;
6 cups of soap = 1 /4 cup of syrup
Then 18 cups of soap = x cups of syrup
cross multiply, we get;
6x = 18(1/4)
multiply the values
6x = 18/ 4
Divide both sides by the coefficient of x , we get;
x = 18/ 4 × 1/6
x = 3/ 4 cup of syrup
Hence, the value is 3/4
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Ms. Wong ordered a box of 50 shirts to sell in her clothing store. She quickly sold 30 of the shirts. Which equations can be used to find how many shirts, s , Ms. Wong has left to sell?
Answer:
answer = 20
Step-by-step explanation:
Answer:
s = 20
Step-by-step explanation:
50 - 30 = s
s + 30 = 50
so 50 - 30 = 20
HELP !!!!
Circle A has center of (4, 5), and a radius of 3 and circle B has a center of (1, 7), and a radius of 9. What steps will help show that circle A is similar to circle B? (6 points)
Group of answer choices
Translate circle A using the rule (x + 3, y − 2).
Dilate circle A by a scale factor of 3.
Rotate circle A 90° about the center.
Reflect circle A over the x-axis.
Answer:
Dilation if not then translation
Step-by-step explanation:
Help me out with this question for my test, thank you and please give a full explanation.
Answer:
210 degreses
Step-by-step explanation:
because I said so.
Suppose that the relation S is defined as follows. S={(-6,9), (7, 2), (-6, -1)} Give the domain and range of S.
Answer:
[see below]
Step-by-step explanation:
The domain are all the x-values of the relation or function, while the range are all the y-values of the relation.
The x-values of the relation are -6 and 7.
The y-values of the relation are -1, 2, and 9.
Therefore:
Domain: {-6, 7}
Range: {-1, 2, 9}
Hope this helps you.
If m and n are positive integers, show that: 3 (m + n)! ≥ m! + n!
We can conclude the proof of inequality : 3 (m + n)! ≥ m! + n! below.
What is factorial?In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. Mathematically, we can write -
[tex]$n! = n \times (n-1) \times \dots \times 1[/tex]
Given is the inequality -
3 (m + n)! ≥ m! + n!
We have -
3 (m + n)!
3 {(m + n)(m + n - 1)(m + n - 2) ....... (3)(2)(1)}
3 {m² + mn - m + nm + n² - n}(m + n + 2) ...... (3)(2)(1)
3 {m² + n² - m - n + 2mn}(m + n + 2) ........ (3)(2)(1)
3 {m(m - 1) + n(n - 1) + 2mn}(m + n + 2) ....... (3)(2)(1)
Now, for (m! + n!) --
(m! + n!) = m(m - 1) .... (3)(2)(1) + n(n - 1) ..... (3)(2)(1)
It can be seen that -
3 {m(m - 1) + n(n - 1) + 2mn}(m + n + 2) ....... (3)(2)(1) ≥
m(m - 1) .... (3)(2)(1) + n(n - 1) ..... (3)(2)(1)
Hence, it can be seen that -
3 (m + n)! ≥ m! + n!
Therefore, we can conclude that 3 (m + n)! ≥ m! + n!.
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Which sets of three numbers could represent the lengths of the sides of a right triangle?
Choose the two correct answers.
Responses
12, 15, 21
40, 42, 58
9, 40, 41
31, 40, 41
Answer: why do we even need math
Step-by-step explanation:
The list of numbers shows the ages of six people on a bowling league. 50, 55, 57, 49, 44, 51. Find the mean absolute deviation of the values.
Answer:
3.333333333
Step-by-step explanation:
Which figures show shaded
amounts that are equivalent to 1/4
The image that shows the graph equivalent to the fraction 1/4 is option A, because only one part of the 4 available is shaded.
How to identify the correct graph?To identify the correct graph, we must first identify which fraction we must represent. In this case, the fraction is 1 / 4. To understand this fraction, we must take into account that the top number (1) refers to the number of parts that are shaded and the bottom number (4) refers to the number of total parts. into which the figure is divided.
According to the above, we can infer that it is a figure that is divided into 4 parts, and one of them is shaded. So the correct choice would be option A.
Note: This question is incomplete because there is some information missing. Here is the complete information:
image attached
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A new school is ordering math text books. They are 3/4 of an inch thick. How many these books will fit into a book shelf that is 2 feet long.
Answer:
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
24 inches are 2 feet
3/4 x 32 = 24
24 inches = 2 feet