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3 years ago

** This is Directions: Find each missing measure. 1. 15 26° х

Mathematics

1 answer:

suter [353]3 years ago

8 0

Answer:

x = 13.48

Step-by-step explanation:

Given that,

Angle, $\theta=26^{\circ}$

base, b = x

Hypotenuse, H = 15

We need to find the measure of x. It can be solved using trigonometry i.e.

$\cos\theta=\dfrac{b}{H}$

Put all the values,

$\cos(26)=\dfrac{x}{15}\\\\x=15\times \cos(26)\\\\x=13.48$

So, the value of x is equal to 13.48.

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Samantha works part time at a store where she earns $462.30 each month. Which expression could be used to find the amount Samant

skad [1K]

Answer:

462.30m

Step-by-step explanation:

If she earns $462.30 each month, you multiply by the number of months to find how much she made over that time.

7 0

3 years ago

Felicia has $350 to deposit into two different savings accounts. Felicia will deposit $200 into Account I, which earns 4.5% annu

Alisiya [41]

Total price after 6 years in Account I is :

$P _1=P_o+\dfrac{P_ort}{100}\\\\P_1=200+\dfrac{200\times 4.5 \times 6}{100}\\\\P_1=\$254$

Total price after 6 years in Account II is :

$P_2=P_o(1+\dfrac{r}{n})^{nt}\\\\P_2=150(1+\dfrac{3.34}{1})^{1\times 6}\\\\P_2=\$1002373.64$

Total balance, $T=P_1+P_2=1002373.64+254=\$1002627.64$

Hence, this is the required solution.

5 0

2 years ago

Find the value of $ 15,000 at the end of one year if it is invested in an account that has an interest rate of 4.95 % and is com

lora16 [44]

A)

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$15000\\
r=rate\to 4.95\%\to \frac{4.95}{100}\to &0.0495\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{twelve months, thus}
\end{array}\to &12\\
t=years\to &1
\end{cases}
\\\\\\
A=15000\left(1+\frac{0.0495}{12}\right)^{12\cdot 1}$

b)

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$15000\\
r=rate\to 4.95\%\to \frac{4.95}{100}\to &0.0495\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{365 days, thus}
\end{array}\to &365\\
t=years\to &1
\end{cases}
\\\\\\
A=15000\left(1+\frac{0.0495}{365}\right)^{365\cdot 1}$

c)

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$15000\\
r=rate\to 4.95\%\to \frac{4.95}{100}\to &0.0495\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{four quarters, thus}
\end{array}\to &4\\
t=years\to &1
\end{cases}
\\\\\\
A=15000\left(1+\frac{0.0495}{4}\right)^{4\cdot 1}$

7 0

3 years ago

I need help with questions 4-9 please and thank you

Colt1911 [192]

Answer:im not sure but i thinkk its like this

Step-by-step explanation:

You use the distributive property so

4. 16

5. 18

in numbre six you multuply 6x5 and 5x5 then you add it and its 55

6.55

7.6

8.39

9.17

6 0

2 years ago

What is the result of -5/8 times -8 8/9

Furkat [3]

Exact form: 50/9

Decimal form: 5.5

Mixed number form: 5 5/9

5 0

2 years ago