Find the area and perimeter

Mathematics

1 answer:

stellarik [79]3 years ago

8 0

Answer:

Area: 6x² -8x

Perimeter: 10x -8

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How many patients in the hospital were at least 60 years old? 55 45 115 70

pychu [463]

i looked it up and i may be wrong but i think its 45

7 0

3 years ago

Read 2 more answers

What is the resistance of a 3.1 m length of copper wire 1.7 mm in diameter?

Bumek [7]

R = ?
L = 3.1 m;
r = 1.7 mm/ 2 = 0.85 mm = 0.85 * 10^(-3) m
Resistivity of copper ( rho ) = 1.68 * 10 ^(-8) [Ohm m ]
A = 3.15 * ( 0.85 * 10^(-3))^2 = 2.26865 * 10 ^(-6)
R = ( Rho ) * L / A = 1.68 * 10^(-8) * 3.1 m / 2.26865 * 10^(-6) =
= (1.7 * 3 .1 / 2.26865 )* 10^(-2) = 0.02323 Ohms ( the resistance )

8 0

4 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:

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