When Lisa and Tom has their first child, they put $7,500 into a savings account that earns 6% compound interest. If Lisa and Tom did not add or remove anything from the savings account, how much interest will they have earned after 4 years?

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $7500

r = 6% = 6/100 = 0.06

Assuming the interest was compounded annually, then

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,

A = 7500(1 + 0.06/1)^1 × 4

A = 7500(1.06)^4

A = $9468.6

The interest that they would have earned after 4 years is

9468.6 - 7500 = $1968.6


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Quadrilateral QRST is a square. If the measure of QR 3x-6 and TS is 6-x. Find the value of x.

Answers

Answer:

x = 3

Step-by-step explanation:

Since the quadrilateral QRST is a square, all sides are equal

Therefore QR must be equal to TS

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Amber has 4/5-pound bag of colored sand. She uses 1/2 of the bag for the project. How much sand does she use for the project?

Answers

Answer:

(2)/(5)-pound of sand

Step-by-step explanation:

We have been given that Amber has (4)/(5)-pound bag of colored sand. She uses 1/2 of the bag for the project.

We need to find 1/2 'of' the 4/5 as:

(4)/(5)* (1)/(2)

(4*1)/(5*2)

(2*1)/(5*1)

(2)/(5)

Therefore, Amber used (2)/(5)-pound of sand for the project.

3/10
4/5 - 1/2= 8/10-5/10

A student randomly draws a card from a standard deck and checks to see if it is his favorite suit. He then returns the card to the deck, shuffles, and repeats the experiment. He performs the experiments 30 times. Can the probability of drawing his favorite suit be found by using the binomial probability formula? Why or why not?Yes. The events are dependent; however, the 5% guideline can be applied to this situation.
No. The trials are fixed, but the probability of success changes for every trial.
No. The probability of success remains the same for every trial, but the trials are not fixed.
Yes. The outcomes can be classified into two categories, the trials are fixed, and the events are independent.

Answers

Answer:

Yes. The outcomes can be classified into two categories, the trials are fixed, and the events are independent.

Step-by-step explanation:

Hope this helps!!

Which series of transformations would result in a figure that is congruent to the triangle ABC? rotation of 180° clockwise about the origin and then dilation with a scale factor of -1, centered at the origin rotation of 180" clockwise about the origin and then dilation with a scale factor of 2, centered at the origin reflection across the line y = x and then dilation with a scale factor of -3, centered at the origin translation 3 units to right and then dilation with a scale factor of 3, centered at the origin​

Answers

Answer:it is rotation of 180 clockwise about the origin and then dilation with a scale factor of -1 centered at the origin

Step-by-step explanation:

Answer:

I think it’s C

Step-by-step explanation:

In how many different ways can 5 books be arranged on a shelf?

Answers

Permutation:

5! = 5 * 4 * 3 * 2 * 1 = 120

What si the gratest common factor of 60 and 72?

Answers

The greatest common factor of 60 and 72 is 12.