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Anna007 [38]
4 years ago
8

18 yards equal 6 feet how many inches

Mathematics
1 answer:
DanielleElmas [232]4 years ago
6 0
84 in
Give me a thanks if it helps
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If you invest $5,000 at 1.8 percent for 5 years, compounded quarterly, what is the amount in the
Drupady [299]

Answer: C. $5,470

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $5000

r = 1.8% = 1.8/100 = 0.018

n = 4 because it was compounded 3 times in a year(12/4 = 3 times)

t = 5 years

Therefore,

A = 5000(1 + 0.018/4)^4 × 5

A = 5000(1 + 0.0045)^20

A = 5000(1.0045)^20

A = $5470 to the nearest whole number

4 0
3 years ago
Please help please <br> It due asap
PSYCHO15rus [73]

Answer:

D) About 40 miles

Step-by-step explanation:

Using the Pythagorean theorem, you caculate c=√ a^2 + b^2

Oceanfront to Landview is 5(5) units = 25

Landview to Seaside is 6(5) units = 30

25^2 = 625

30^2 = 900

√625 + 900 = 39.0512....

Basically it’s 40 miles

6 0
3 years ago
Read 2 more answers
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that s
RSB [31]
Well, is the function continuous?  yes, is a cubic one, you can graph it if you wish, is continuous all the way, and of course at [ 0, 4] too.

is it differentiable?  you can always look at the graph between 0,4 and is a smooth transition line, thus yes, it is differentiable, but let's check anyway,

\bf \cfrac{dy}{dx}=3x^2-2x-12    its derivative has no asymptotes and therefore no "cusps", so yes, is differentiable all around.

is f(0) = f(4), let's check

f(0) = 0+0+0+3,            f(0) = 3
f(4) = 64 - 16 - 48 + 3,   f(4) = 3

yeap

there must then be a "c" value(s) with a horizontal tangent slope, let's check, is really just the critical points.

\bf \cfrac{dy}{dx}=3x^2-2x-12\implies 0=3x^2-2x-12&#10;\\\\\\&#10;\textit{using the quadratic formula}&#10;\\\\\\&#10;x=\cfrac{-(-2)\pm\sqrt{(-2)^2-4(3)(-12)}}{2(3)}\implies x=\cfrac{2\pm\sqrt{4+144}}{6}&#10;\\\\\\&#10;x=\cfrac{2\pm 2\sqrt{37}}{6}\implies x=\cfrac{2\pm\sqrt{37}}{3}\impliedby \textit{c's}
4 0
3 years ago
the triangle below is 45-45-90 determine the value of x and y your awsner must be in simplest radical form you cannot use sine c
Alexeev081 [22]

The diagram can be redrawn as,

The value of x and y can be determined as,

\begin{gathered} \tan C=\frac{AB}{BC} \\ \tan 45^{\circ}=\frac{x}{7\sqrt[]{2}} \\ x=7\sqrt[]{2} \end{gathered}\begin{gathered} \cos C=\frac{BC}{AC} \\ \cos 45^{\circ}=\frac{7\sqrt[]{2}}{y} \\ y=14 \end{gathered}

Thus, option (D) is the correct solution.

4 0
1 year ago
The three sides of an equilateral triangle measure (x + 12), (2x - 5) and (3x - 22) inches. The sides of the triangle measure
agasfer [191]
All 3 sides are equal in an equilateral triangle...

2x - 5 = 3x - 22
-5 + 22 = 3x - 2x
17 = x

2x - 5 = 2(17) - 5 = 34 - 5 = 29
3x - 22 = 3(17) - 22 = 51 - 22 = 29
x + 12 = 17 + 12 = 29

as u can see, all sides measure 29 inches
8 0
3 years ago
Read 2 more answers
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