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4 years ago

Find two consecutive even natural number whose product is 168

1 answer:

7 0

$2n(2n+2)=168\\
4n^2+4n-168=0\\
n^2+n-42=0\\
n^2+7n-6n-42=0\\
n(n+7)-6(n+7(=0\\
(n-6)(n+7)=0\\
n=6 \vee n=-7\\
-7\not \in \mayhbb{N}\\\\
2n=12\\
2n+2=14$

These numbers are 12 and 14.

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3 years ago

Bob earns $1,825 per month as a clerk at Elm City Sporting Goods. How much does he earn in a year? Explain how you got your answ

lozanna [386]

Answer:

$21,900

Step-by-step explanation:

1,825 x 12 = 21,900

All you have to do is multiply

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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:

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

Here A = 1287495.69 (Total amount required)

P = ( principal amount to be deposited to meet the required total amount )

r = 6% = 0.06

t = 20

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

$1287495.69= P(1+0.06)^{20}$

simplifying further, we get

$\frac{1287495.69}{(1.06)^{20}}= P$

so required amount to be deposited is given by :

P = $401,447.24

Hope it was helpful !:)

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3 years ago

What is the answer 1 - 0.5137

4vir4ik [10]

Answer:

0.4863

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the simplified expression for 6(2(y x))?

Lelu [443]

You first want to multiply the 2 with (yx) and that would give you 2yx and then you would want to multiply that by 6 and then your final answer will be 12 yx

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3 years ago