Sam is 5 years older than Mike. In 6 years, Mike will be 7 more than half of Sam's age. How old is Sam now?

Find the area of the sector in<br> terms of pi.<br> 270°<br> 12<br> Area = [?]

stepan [7]

Answer:

[?] = 108

Step-by-step explanation:

$270^\circ$ is 3/4 of a whole revolution: $\frac{270^\circ}{360^\circ}=\frac{3}{4}$ so the area of the sector is 3/4 of the area of the entire circle.

Area of a circle: $A=\pi r^2$

Area of the sector: $\frac{3}{4} \pi (12^2)=\frac{3}{4}(144)\pi=108\pi$

8 0

3 years ago

In the expression 5x^3-4x^2+2x+3, what is the coefficient of the quadratic term?

alisha [4.7K]

Coefficient of the quadratic term clearly is -4 (ALTERNATIVE 2)

6 0

3 years ago

Eric studied dogs for a class project . his project showed that there are 156 breeds of dogs. he separated the breeds into 12 gr

Vladimir [108]

If you divide 156 by 12 it'll give you 13, so there are 13 in each group

4 0

3 years ago

Read 2 more answers

You deposit $300 in a savings account that pays 6% interest compounded semiannually. How much will you have at the middle of the

Otrada [13]

Answer:

Please check the explanation.

Step-by-step explanation:

a) How much will you have at the middle of the first year?

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 0.5 years

Total amount = A = ?

Using the formula

$A\:=\:P\left(1+\frac{r}{n}\right)^{nt}$

substituting the values

$A=300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(0.5\right)}$

$A=300\cdot \frac{2.06}{2}$

$A=\frac{618}{2}$

$A=309$ $

Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 0.5 years is $ 309.00.

Part b) How much at the end of one year?

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 1 years

Total amount = A = ?

Using the formula

$A\:=\:P\left(1+\frac{r}{n}\right)^{nt}$

so substituting the values

$A\:=\:300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(1\right)}$

$A=300\cdot \frac{2.06^2}{2^2}$

$A=318.27$ $

Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 1 year is $ 318.27.

7 0

3 years ago

(All numbers can be reused) Using only 5 numbers to make a set that has a mean of 5, what’s the highest median this set can have

slega [8]

Answer:

Mean: Use any 5 numbers that make 25.

Median: 5

Step-by-step explanation:

For the mean you can use 2.5+2.5+2.5+7.5+10

I'm not sure about the median... If it's asking about the median for the set I used, it would be 2.5. If it's asking about the one gives, not including the zero would be 5.

4 0

3 years ago