How do I get the answer to this math problem n + 7 < -3 what is the formula for the math problem

1 answer:

8 0

If I understand the question, you have to get n alone. in this case, you have to subtract 7 from both sides, resulting in n (is less than) -10

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Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who

Sveta_85 [38]

My answer would be 20.10 which would equal as 21

8 0

4 years ago

A 120-centimeter-long board is cut into two pieces. One piece is 5 times as long as the other piece.

sweet-ann [11.9K]

The long piece of the board is 100 cm and the shorter board is 20. you can solve this by dividing 120 by 6 since u need to have a piece that is 5x a piece which is a total of 6 pieces. Then multiply that number by 5 and that is your longest board.

8 0

3 years ago

A correction of "six less than twice the value of x" is

nordsb [41]

Answer:

2x-6

I don't know what you mean by correction, but that's in expression form.

8 0

3 years ago

As part of your retirement plan, you want to set up an annuity in which a regular payment of $35,000 is made at the end of each

Finger [1]

Answer:

Option d)$401,447.24

Step-by-step explanation:

We are given that as part of your retirement plan, you want to set up an annuity in which a regular payment of $35,000 is made at the end of each year at rate of 6% compounded annually for 20 years

So first of all we need to find the future value of annuity using the formula as shown below :

$FV= p\frac{[(1+\frac{r}{n})^{(n)(t)}-1)]}{\frac{r}{n}}$

Here, FV = future value of annuity

p = $35000 (annual deposit)

r is rate = 6% = 0.06

n = number of compounding = 1 ( as we are compounding annually )

t = number of years = 20

So plugging in all the values in the formula , we get

$FV= 35000\frac{[(1+\frac{0.06}{1})^{(1)(20)}-1)]}{\frac{0.06}{1}}$

Simplifying further , we get

$FV= 35000\frac{[(1+0.06)^{20}-1)]}{0.06}$

Plugging in the given values in the calculator , we get

FV = $ 1287495.69

So far we have got the Total amount for annuity , from here we need to use the concept of compound interest and find the principal amount to be deposited to get the required total amount of $ 1287495.69

The formula for compound interest when compounded annually is given by:

$A=P(1+r)^t$