Find the distance between the parallel lines. If necessary, round to the nearest whole number.

Leokris [45]

I am sure that the answer is 38.35

8 0

3 years ago

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

Anybody know the answer?

maks197457 [2]

We know that the sum of measures of internal angles in each quadrangle is 360°.

Look at the picture.

$\alpha+\beta+\gamma+\delta=360^o\ \text{and}\ \delta+\tau=360^o\\\\\text{therefore}\\\\\alpha+\beta+\gamma+\delta=\delta+\tau\ \ \ |-\delta\\\\\alpha+\beta+\gamma=\tau$

Therefore we have:

$\theta=35^o+83^o+23^o=141^o$

Answer: θ = 141 deg.

3 0

3 years ago

What decimal can be added to 0.0545454 To get 0.1545454

Mila [183]

0.1005454 + 0.0545454 = 0.1545454

6 0

3 years ago

Math help.....A. Investigate the weather forecast in your city.

arsen [322]

This is easy all you have to do is fill in the chart on the pdf. here I did it but you have to fill it in on your own. So just go from left to right starting at the top and fill it in, all except the dates which I didn't do.Hope this helped :)
 Date, High, Temperature Subtract current temperature minus previous temperature,Difference, Low Temperature, Subtract current temperature minus previous temperature, Difference, 93, -N/A-, -N/A- , 87, -N/A-, -N/A-, 90 , 93-90=, -3 , 79, 79-87, -8 , 93, 93-90, 3, 81 , 81-79, 2 , 91 , 91-93, -2 , 81 , 81-81, 0, 91, 91-91, 0, 79, 79-81, -2, 95, 95-91, 4 , 79 , 79-79, 0 , 95, 95-95, 0, 79, 79-79, 0.

5 0

4 years ago