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Sophie [7]
2 years ago
11

Dream Loan Bank offers loans. Carrie borrows $10,500 to help start a business. The loan must be repaid at 4.5% simple interest o

ver 10 years.
How much money will Carrie have to pay back?

Enter the correct answer in the box.
Mathematics
1 answer:
MaRussiya [10]2 years ago
7 0

~~~~~~ \textit{Simple Interest Earned Amount}\\\\A=P(1+rt)\qquad\begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount given}\dotfill & \$10500\\r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\t=years\dotfill &10\end{cases}\\\\\\A=10500(1+0.045\cdot 10)\implies \boxed{A=15225}

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In the morning, Jasmine biked to her grandma's house in 45 minutes. When she was biking back home in the evening it was foggy an
Mars2501 [29]
Let x = speed and y = distance

y = x * 45

y = (x - 4) * 70

45x = 70x - 280

-25x = -280

x = 11.2

Put it back into the first equation:

y = 11.2 x 45

y = 504miles

Hope this helps! Any questions let me know :)
7 0
3 years ago
Kevin has three pieces of wood. Board A is 6 inches long, board B is 11 inches long, and board C is 4 inches long. If the full l
Alik [6]

Answer:

b. no, 6 + 4 < 11

Step-by-step explanation:

To form a triangle, longest length should be less than the sum of the two shorter ones.

4 0
3 years ago
Find the equation of the inverse.<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206" id="TexF
Contact [7]

Find the equation of the inverse.

y =  {2}^{x + 5}  - 6

we have

y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6

step 1

Exchange the variables

x for y and y for x

x=\{2\}^{\{y+5\}}-6

step 2

Isolate the variable y

(x+6)=2^{(y+5)}

apply log both sides

\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\  \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}

step 3

Let

f^{(-1)}(x)=y

therefore

the inverse function is

f^{(-1)}(x)=\frac{\log(x+6)}{\log(2)}-5

7 0
1 year ago
How many and what type of solutions does the equation have?
Oxana [17]
Here's how one would solve it:

17 + 3x2 = 6x
17 + 6 = 6x
23 = 6x
x = 23/6

There's only one solution.
8 0
3 years ago
What is the mass of 2.5 moles of carbon dioxide?
GarryVolchara [31]

Answer:

110 grams

Step-by-step explanation:

CO2 molecule is made up of Carbon (atomic mass =12) and oxygen (atomic mass=16).

So first finding the mass of 1 molecule of CO2 which is equals to

= mass of 1 carbon atom + masses of 2 oxygen atom, we get

= 12+(16*2)= 12+32= 44 a.m.u.

Now 1 molecule of CO2 has mass 44 amu so mass of 1 mole CO2 will be 44 grams.( 1 a.m.u.=1.6729*10^-33 grams. 1 mole = 6.022*10^23, so 44 a.m.u.=73.6076*10^-33 grams approx. For one mole CO2, 73.6076*10^-33*6.022*10^23 which is approximately equals to 44 grams. )

1 mole CO2= 44grams, so 2.5 moles = 44*2.5= 110 grams

So our answer is 110 grams.

lowkey hope this helped you, good luck whatever you need it for Imaooo

3 0
3 years ago
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