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4 years ago

Find the value of x.

Mathematics

1 answer:

Nadusha1986 [10]4 years ago

7 0

Answer:

71.79 degrees

Step-by-step explanation:

The cosine is (adjacent side to angle) / (hypotenuse)

so the cosine of x = 5/16

to get x you multiply cosine by its inverse

(cos^-1 x)(cos x) = (cos^-1 x)(5/16)

= 71.79 degrees

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A woman invests 12,500 in a savings account drawling interest that is compounded annually. Find the annual rate if the money gro

Anuta_ua [19.1K]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$14045\\ P=\textit{original amount deposited}\dotfill &\$12500\\ r=rate\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}$

$\bf 14045=12500\left(1+\frac{r}{1}\right)^{1\cdot 2}\implies \cfrac{14045}{12500}=(1+r)^2\implies \cfrac{2809}{2500}=(1+r)^2 \\\\\\ \sqrt{\cfrac{2809}{2500}}=1+r\implies \cfrac{53}{50}=1+r\implies \cfrac{53}{50}-1=r\implies \cfrac{3}{50}=r \\\\\\ 0.06=r\implies \stackrel{\textit{converting it to percent format}}{0.06\cdot 100=r}\implies \stackrel{\%}{6}=r$

4 0

3 years ago

Read 2 more answers

The population of a city in 2005 was 18,000. By 2010, the city’s population had grown to 45,000. Economists have determined that

SpyIntel [72]

Exponential model is y=Ae^(kt)
Assume initial start is 2005, time = 0, so y = 18000e^(kt)
45000 = 18000*e^(k5)
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6 0

3 years ago

Mr. And Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.14

poizon [28]

Answer:

0.938

Step-by-step explanation:

From the question :

p = 0.14

Number of children, n = 7

P(x ≤ 2) = P(2) + P(1) + P(0)

Using binomial probability :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

We could also use the binomial probability calculator :

P(x ≤ 2) = 0.3479 + 0.3965 + 0.1936

P(x ≤ 2) = 0.938

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3 years ago

What is the sign of the product of any odd number of negative integers? Explain your reasoning.

Alchen [17]

Answer:

If there are an even number (0, 2, 4, ...) of negative factors to multiply, the product is positive. If there are an odd number (1, 3, 5, ...) of negative factors, the product is negative.

Step-by-step explanation:

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3 years ago

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I need help with this

Ulleksa [173]

No, tahts the answer

8 0

3 years ago