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2 years ago

13

Systems of equations have one solution.. . Always. . Sometimes. . Never

1 answer:

jeka57 [31]2 years ago

4 0

Systems of equations have one solution SOMETIMES.

There are equations wherein the lines intersect.
There are equations wherein the lines do not intersect so no solutions.
Thus, the answer is sometimes.

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AM= 5x+10 MB= 4x+16 is the midpoint of AM. Find AM

Lady bird [3.3K]

5x+10=4x+16
x=6
AM= 40

6 0

2 years ago

A fund earns a nominal rate of interest of 6\% compounded every two years. Calculate the amount that must be contributed now to

Nesterboy [21]

Answer:

$712.

Step-by-step explanation:

We have been given that a fund earns a nominal rate of interest of 6% compounded every two years. We are asked to find the amount that must be contributed now to have 1000 at the end of six years.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nt}$ , where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

$6\%=\frac{6}{100}=0.06$

Since interest is compounded each two years, so number of compounding per year would be 1/2 or 0.5.

$1000=P(1+\frac{0.06}{0.5})^{0.5*6}$

$1000=P(1+0.12)^{3}$

$1000=P(1.12)^{3}$

$1000=P*1.404928$

$\frac{1000}{1.404928}=\frac{P*1.404928}{1.404928}$

$P=711.7802478$

$P\approx 712$

Therefore, an amount of $712 must be contributed now to have 1000 at the end of six years.

7 0

3 years ago

What is the area of the parallelogram? A parallelogram with a base of 14 centimeters and a height of 5 centimeters.

oksano4ka [1.4K]

Answer:

<h3>The answer is 70cm²</h3>

Step-by-step explanation:

Area of a parallelogram = base × height

From the question

base = 14 cm

height = 5 cm

Substituting the values into the above formula we have

Area = 14 cm × 5 cm

<h3>Area = 70cm²</h3>

Hope this helps you

6 0

2 years ago

A long-distance runner jogs at a constant speed of 7 miles per hour for 45 minutes. Which spreadsheet formula would give the dis

levacccp [35]

Answer is A.
Distance divided by time equal speed.

3 0

2 years ago

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three softball players wrote down their batting average : amy wrote 12 or 30 , sue wrote .34 , kit wrote 9/21 . who is a better

Maksim231197 [3]

Amy: 12 or 30
Sue: 0.34
Kit: 9/21
Kit is the better hitter.

Hope this helps :^)

5 0

2 years ago

Read 2 more answers