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Gemiola [76]
3 years ago
5

Nathan put $200 in a savings account for two years. The interest rate is 5% and will be compounded annually. How much money will

he have at the end of the two years?
Mathematics
1 answer:
irina1246 [14]3 years ago
5 0

Answer:

Nathan will have $220.5 at the end of the two years.

Step-by-step explanation:

We are given the following in the question:

P = $200

r = 5% = 0.05

t = 2 years

The compound interest is given by:

A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}

where A is the amount, p is the principal, r is the interest rate, t is the time in years and n is the nature of compound interest.

Putting values, we get,

For n = 1

A = 200\bigg(1+\dfrac{0.05}{1}\bigg)^2\\\\A = \$220.5

Thus, Nathan will have $220.5 at the end of the two years.

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In the figure, VW || YZ. Find the value of x, and the measure of YA and WA.
svetoff [14.1K]

Step-by-step explanation:

because VW || YZ, the 2 triangles are similar.

this is given by the rules of equal angles of intersecting lines with parallel lines. Z to V and Y to W would be such intersecting lines.

and therefore, the angle at W is the angle at Y, the angle at V is the angle at Z. and therefore both angles at A are equal.

so, for similar triangles the scaling factor between corresponding pairs of sides is the same for all sides.

e.g. the same scaling factor that converts 7.2 to 12, converts then also x to x+4.

7.2 × f = 12

f = 12/7.2 = 12/ 72/10 = 120/72 = 10/6 = 5/3

x × 5/3 = x + 4

5x = 3x + 12

2x = 12

x = 6

A to Y = x = 6

W to A = x + 4 = 6 + 4 = 10

5 0
2 years ago
(I've been trying to figure this out for 3 days and I really need help)
liq [111]

Check the picture below.

since the diameter of the cone is 6", then its radius is half that or 3", so getting the volume of only the cone, not the top.

1)

\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \implies V\approx 37.7

2)

now, the top of it, as you notice in the picture, is a semicircle, whose radius is the same as the cone's, 3.

\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=3 \end{cases}\implies V=\cfrac{4\pi (3)^3}{3}\implies V=36\pi \\\\\\ \stackrel{\textit{half of that for a semisphere}}{V=18\pi }\implies V\approx 56.55

3)

well, you'll be serving the cone and top combined, 12π + 18π = 30π or about 94.25 in³.

4)

pretty much the same thing, we get the volume of the cone and its top, add them up.

\bf \stackrel{\textit{cone's volume}}{\cfrac{\pi (3)^2(8)}{3}}~~~~+~~~~\stackrel{\stackrel{\textit{half a sphere}}{\textit{top's volume}}}{\cfrac{4\pi 3^3}{3}\div 2}\implies 24\pi +18\pi \implies 42\pi ~~\approx~~131.95~in^

8 0
3 years ago
Edwin walks for 2 hours. He walks 1 miles in the first hour, 1 miles in the second hour and 1 of the total distance in the last
Free_Kalibri [48]
Is it 3 miles? From what you wrote, I believe this would be the answer.
6 0
3 years ago
What’s the area of the rhombus?
miskamm [114]

Answer:

65ft² i guess

Step-by-step explanation:

using area of rombus diagonal=½*d1*d2

4 0
4 years ago
Amy bought 5lbs., 11oz. Of turkey cold cuts and 6lb., 12 oz. Of ham cold cuts. How much did she buy total? You should convert an
Alenkinab [10]

Answer:

12.5lb

Step-by-step explanation:

5lbs+6lb=11lb

11oz+12oz=1.5lbs

11lb+1.5lb=12.5

7 0
3 years ago
Read 2 more answers
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