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3 years ago

Please solve ASAP i need this for a quiz bc last day to complete

Mathematics

1 answer:

trapecia [35]3 years ago

6 0

Can’t see questions!

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A principal of $950 is invested in an account at 7 percent simple interest per year. What is the amount of the principal after 5

Nataly_w [17]

$\bf ~~~~~~ \textit{Simple Interest Earned Amount}
\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$950\\
r=rate\to 7\%\to \frac{7}{100}\to &0.07\\
t=years\to &5
\end{cases}
\\\\\\
A=950(1+0.07\cdot 5)\implies A=950(1.35)\implies A=1282.5$

3 0

3 years ago

An investor invested a total of $2500 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If th

7nadin3 [17]

Answer:

$500 and $2000

Step-by-step explanation:

Let x represent the total investment = $2500

also, this total is split into two different funds

Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%

So,

a + b = x

a + b = 2500 ......eq 1

Profit from each fund gives;

0.03 a + 0.05b = 115 ....eq 2

Solve simultaneously using substitution method

From eq 1;

b = 2500 - a

Slot in this value in eq 2

0.03a + 0.05 (2500 - a) = 115

expand

0.03a + 125 - 0.05a = 115

collect like terms

0.03a - 0.05a = 115 - 125

-0.02a = -10

Divide both sides by -0.02

a = $500

Put this value of a in eq 1

500 + b = 2500

Subtract 500 from both sides

b = 2500 - 500

b = $2000

3 0

3 years ago

If (-3)^-5 = 1/x, what is the value of x?

kvv77 [185]

Answer:

-243

Step-by-step explanation:

(-3) (-3) (-3) (-3) (-3) = - 243

$\frac{1}{-243 }$

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3 years ago

What is the solution set of the inequality?

jolli1 [7]

Answer:

In the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

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3 years ago

Simplest form of 39/27

Deffense [45]

Both the top and bottom are divisible by three, and 13/9ths cannot be simplified anymore

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3 years ago