Suppose you deposit $5,000 in a savings account that earns 3% annual interest. If you make no other withdrawals or deposits, how many years will it take the account balance to reach at least $6,000? A. 10 years. B. 6 years. C. 7 years. D. 4 years

Answers

Answer 1

Answer: You need to use the equation y=p(1+r)^t where p= the principle (initial amount), r= the rate of decay or growth, and t= the time. So y=5,000(1.03)^x is the equation you'd want to use. At 6 years you'd have $5,970.3 and at 7 $6,149.40, so the answer is C.

Answer 2

Answer: taking into consideration that the interest is compound (yearly)
the amount of money gather through the years can be calculated by

A = P (1+r)^(t)
6000 = 5000 (1.03)^t

t = ln(6000/5000)/ln(1.03) = 6.16 ≈ 7

c. 7 years

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Identify the two variables that make up the relation described in this statement: The area of a circle depends on the length of the radius. Choose all that apply.A.area
B.radius
C.circumference
D.shape

Answers

The area and the radius.

A area and B radius are the answers

Use the order of operations to solve the problem. 7 x 8 + 4 +1

Answers

Answer:

7x8 is 56 plus four plus one equals 61

Step-by-step explanation:

Type the equation that shows the pattern among the set of ordered pairs (0,4)(1,0)(2,-4)(3,-8)

Answers

trial and error
y=-4x+4

or assuming that it is a line
y=mx+b
m=slope
b=yint
slope=(y2-y1)/(x2-x1)
(0,4) and (1,0)
(0-4)/(1-0)=-4/1=-4

y=-4x+b
sub point
4=-4(0)+b
4=0+b
4=b

y=-4x+4

What is a rational number between the two given numbers?
8/13 and 7/10.

Answers

to find the rational number inbetween those 2 numbers you have to find the average, so 8/13 plus 7/10= 1.315384615384615, than divide that by 2 which equals 0.657692307692308 (0.658 rounded)

0.648 is the rational number inbetween 8/13 and 7/10

Zane bought cupcakes for his sister's birthday party. 60% of the 90 cupcakes had sprinkles on top. How many cupcakes had sprinkles?

Answers

Answer:

Step-by-step explanation:

Kelly and Daniel surveyed 6 of their friends to find the number of pets in each of their households. They recorded the results from each home in a list. 4, 1, 2, 1, 0, 1 What is the mean absolute deviation of this data set? Enter your answer in the box.

Answers

Answer:

The mean absolute deviation is 1

Step-by-step equation =

Take all of the numbers and add them together.

4+1+2+1+0+1= 9

Then divide by how many numbers there are. In this word problem its 6.

Divide 9 by 6.

9 ÷ 6 = 1.5

So 1.5 would be our mean.

To find the mean absolute deviation subtract our mean and our original numbers.

1.5 - 4 = 2.5

1.5 - 1 = 0.5

1.5 - 2 = -0.5

1.5 - 1 = 0.5

1.5 - 0 = 1.5

1.5 - 1 = 0.5

Add all of those numbers together.

2.5 + 0.5 + 0.5 + 0.5 + 1.5 + 0.5 = 6

Even though one of the numbers was a negative answer we add it as a positive because the mean absolute deviation can never be negative

Divide by the amount of numbers you added.

6 ÷ 6 = 1

So the mean absolute deviation is 1

I also took the test that had 10 questions and got a 100

I'm pretty late to answer but hope this helps for others in the future

I learned this like a week or less ago so my explanation might not make the most sense.

Answer:

Step-by-step explanation:

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