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3 years ago

Peter puts 8000 into a savings account that pays 6% interest, compounded continuously. After 5 years, Peter will have ( $)

1 answer:

5 0

We have to calculate the amount of money Peter will have in his account after 5 years. Formula for the amount after t years with interest compounded continuously : A = P * e ^(rt)
We know that r = 0.06, t=5, e = 2.71 and p= $8,000
A = 8,000 * 2,718 ^(0.06 * 5) = 8,000 * 2,718 ^ (0.3) = 8,000 * 1.3488158 = 10,798.53 so the answer is 10,798.53

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Write the whole number 7420 in expanded form

bija089 [108]

Expanded Notation Form:

7,000

+ 400

+ 20

+ 0

Expanded Factors Form:

7 × 1,000

+ 4 × 100

+ 2 × 10

+ 0 × 1

Expanded Exponential Form:

7 × 103

+ 4 × 102

+ 2 × 101

+ 0 × 100

Word Form:

seven thousand four hundred twenty

8 0

3 years ago

Rewrite the formula to solve for the amount of money Jeremy must pay each month

emmainna [20.7K]

X=t-yz and we are asked to solve for y so, subtract t from both sides

x-t=-yz divide both sides by -z

(x-t)/(-z)=y

y=(x-t)/(-z) multiply the numerator and denominator by -1

y=(t-x)/z

8 0

4 years ago

When the domain of a function has an infinite number of values, the range always has an infinite number of values. True or false

iragen [17]

Answer:

Thus, the statement is False!

Step-by-step explanation:

When the domain of a function has an infinite number of values, the range may not always have an infinite number of values.

For example:

Considering a function

$f(x) = 5$

Its domain is the set of all real numbers because it has an infinite number of possible domain values.

But, its range is a single number which is 5. Because the range of a constant function is a constant number.

Therefore, the statement ''When the domain of a function has an infinite number of values, the range always has an infinite number of values'' is FALSE.

Thus, the statement is False!

3 0

3 years ago

7 times 7 plus 60 times 2 plus 3

Slav-nsk [51]

Answer:

172

Step-by-step explanation:

7 x 7 + 60 x 2 + 3

Do the multiplication first:

49 + 120 + 3

169 + 3

172

7 0

4 years ago

Read 2 more answers

The value of a car bought new for $28900 decreases 15% each year. Identify the function for the value of the car. Does the funct

Eva8 [605]

Answer:

V (t) = 28,900 - 4,335t

The function clearly represent a decay

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Value of the car = $ 28,900

Annual depreciation = 15% = 0.15

2. Identify the function for the value of the car. Does the function represent growth or decay?

Let y represent the value of the car after t years of utilization, let p the price of the car and d, the annual depreciation, therefore:

V (t) = p - (d * t * p)

Replacing with the values we know:

V (t) = 28,900 - (0.15 * t * 28.900)

V (t) = 28,900 - 4,335t

The function clearly represent a decay.

8 0

4 years ago