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3 years ago

6

Kate wants to have $25,000 in 16 years. How much does she need to invest if the interest rate is 6 percent per year?

1 answer:

s2008m [1.1K]3 years ago

3 0

Final amount that Kate wants to have (A) = $25000
Time for which the money needs to be invested (T) = 16 years
Rate of interest that Kate will get per year (R) = 6%
Let us assume the principal amount (P) = x
Then
A = P (1 + RT)
25000 = x[1 + {(6/100) * 16}]
25000 = x[1 +(96/100)]
25000 = x[196/100]
196x = 25000 * 100
x = 2500000/196
= 12755.10 dollars
So the principal amount that needs to be invested is $12755.10.

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Consider the two expressions 4b(b+1) and (2b+7)(2b-8). Compare their values if b=-3, b=-2, and if b=10. Is it true that for an v

frutty [35]

Answer:

FIRST EXPRESSION:

- If $b=-3$ , the value of $4b(b+1)$ is $24$

- If $b=-2$ , the value of $4b(b+1)$ is $8$

- If $b=10$ , the value of $4b(b+1)$ is $440$

SECOND EXPRESSION:

- If $b=-3$ , the value of $(2b+7)(2b-8))$ is $-14$

- If $b=-2$ , the value of $(2b+7)(2b-8))$ is $-36$

- If $b=10$ , the value of $(2b+7)(2b-8))$ is $324$

Yes, for any value of "b" the value of the first expression is greater than the value of the second expression.

Step-by-step explanation:

Substitute the given values of "b" into each expression and evaluate.

- For the first expression $4b(b+1)$ , you get:

If $b=-3$ → $4(-3)(-3+1)=24$

If $b=-2$ → $4(-2)(-2+1)=8$

If $b=10$ → $4(10)(10+1)=440$

- For the second expression $(2b+7)(2b-8))$ , you get:

If $b=-3$ → $(2(-3)+7)(2(-3)-8)=-14$

If $b=-2$ → $(2(-2)+7)(2(-2)-8)=-36$

If $b=10$ → $(2(10)+7)(2(10)-8)=324$

You can observe that for any value of "b" the value of the first expression is greater than the value of the second expression.

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3 years ago

Sabra joins a cooking club for $8.50 and pays $6.25 each month. She also joins a movie club for $12 and pays $3.75 each month. W

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Step-by-step explanation:

Step 1: Write expression for expense on joining cooking club for m months.

Expense = 8.50 + 6.25 × m

Step 2: Write expression for expense on joining movie club for m months.

Expense = 12 + 3.75 × m

Step 3: Calculate the total amount spent on both clubs

Total Amount = 8.50 + 6.25m + 12 + 3.75m = 20.5 + 10m = 10(2.05 + m)

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lys-0071 [83]

Answer:

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Step-by-step explanation:

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storchak [24]

Answer:

We have, 63% × x = 252

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Multiplying both sides by 100 and dividing both sides by 63,

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Question 4. In the graph, lines f and g intersect at P(6,6). What is the area, in square units, of the shaded region? * E. 15 F.

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Answer:

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