Use inverse operations to solve the equations -7×=119×=

Anna35 [415]

Put all numbers in smallest to largest order
if there are an odd number of results, the median is in the middle
if there even, then its the mean of the two central numbers

6 0

2 years ago

Paul has $30,000 to invest. His intent is to earn 15% interest on his investment. He can invest part of his money at 8% interest

jeka94

Answer:

Amount invested at 8% is $9000 and amount invested at 18% is $21000.

Step-by-step explanation:

Let amount invested at 8% be x.

Let amount invested at 18% be y.

We get the 1st equation as:

$x+y=30000$ ........(1)

We get the second equation as:

$0.08x+0.18(y)=0.15\times30000$

=> $0.08x+0.18y=4500$

or getting rid of the decimal by multiplying by 100 on both sides.

$8x+18y=450000$ ........(2)

Multiplying (1) by 8 and subtracting from (2) we get

$10y=210000$

So, y = 21000

And $x+21000=30000$

$x = 30000-21000$

So, x = 9000

Therefore, amount invested at 8% is $9000 and amount invested at 18% is $21000.

6 0

2 years ago

Rewrite using a single positive exponent.<br> 6^5<br> 6

Fiesta28 [93]

Answer:

$6^{4}$

Step-by-step explanation:

using the rule of exponents

$\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$

note that 6 = $6^{1}$ , then

$\frac{6^{5} }{6}$ = $6^{(5-1)}$ = $6^{4}$

7 0

2 years ago

HELP DUE LIKE RIGHT NOW

Nimfa-mama [501]

Answer:

The correct answer is x = 17.

Step-by-step explanation:

If EF bisects DEG, this means that angles DEF and angles FEG are congruent, and they each make up half of angle DEG.

Therefore, we can set up the equation:

DEF + FEG = DEG

However, since we know that DEF and FEG represent the same value, we can change this equation into the following:

2(DEF) = DEG

Now, we can substitute in the expressions that we are given:

2(3x+1) = 5x + 19

To simplify, we should first use the distributive property on the left side of the equation.

6x + 2 = 5x + 19

Our next step is to subtract 5x from both sides of the equation.

x + 2 = 19

Finally, we can subtract 2 from both sides of the equation to get x by itself on the left side.

x = 17

Therefore, the value of x is 17.

Hope this helps!

7 0

3 years ago

Find the simple interest earned to the nearest cent for each principal, interest rate, and time.

Y_Kistochka [10]

Answer:

Interest earned at 3.9 percent rate is $31.2

Interest earned at 2 percent rate is $5.8

Step-by-step explanation:

A = P(1 + rt)

Where 'A' is the amount, 'r' is the rate and 't' is the time in years

When;

P = $1200

r = 3.9%

t = $\frac{8}{12}$ years

Then,

A = $1200(1 + 0.039( $\frac{8}{12}$ ))

A = $1200 + $31.2 = $1231.2

Interest = Amount - Principal

Interest earned at 3.9 percent rate is $1231.2 - $1200 = $31.2

When;

P = $580

r = 2%

t = $\frac{6}{12}$ years

Then,

A = $580(1 + 0.02( $\frac{6}{12}$ ))

A = $580 + $5.8 = $585.8

Interest earned = Amount - Principal

Interest earned at 2 percent rate = $585.8 - $580 = $5.8

4 0

2 years ago