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3 years ago

Solve the following system of equations: x - 2y = 14 x + 3y = 9

1 answer:

3 0

Solve your system of equations step by step.

x−2y=14;x+3y=9

Solve x−2y=14 for x:

x−2y+2y=14+2y (Add 2y to both sides)

x=2y+14

Substitute (2y+14) for x in x+3y=9:

x+3y=9

2y+14+3y=9

5y+14=9(Simplify both sides of the equation)

5y+14+−14=9+−14 (Add -14 to both sides)

5y=−5

5y5=−55 (Divide both sides by 5)

y=−1

Substitute (−1) for y in x=2y+14:

x=2y+14

x=(2)(−1)+14

x=12(Simplify both sides of the equation)

So,

y=-1
x=12

Answer is C)

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A bank features a savings account that has an annual percentage rate of r=5.2% with interest compounded quarterly. Marcus deposi

Aloiza [94]

Answer:

Part A)

$P=\$8,500\\ r=0.052\\n=4$

Part B) $S(7)=\$12,203.47$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$S(t)=P(1+\frac{r}{n})^{nt}$

where

S is the Future Value

P is the Present Value

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

Part A)

in this problem we have

$P=\$8,500\\ r=5.2\%=5.2/100=0.052\\n=4$

Part B) How much money will Marcus have in the account in 7 years?

we have

$t=7\ years\\ P=\$8,500\\ r=0.052\\n=4$

substitute in the formula above

$S(7)=8,500(1+\frac{0.052}{4})^{4*7}$

$S(7)=8,500(1.013)^{28}$

$S(7)=\$12,203.47$

6 0

4 years ago

Estimate the difference 7 3/4-2/25 Show your work.

crimeas [40]

Answer: 7 3/4 - 2/25 = 767/100 = 7 67/100 = 7.67

Step-by-step explanation:

Conversion a mixed number 7 3/4

to a improper fraction: 7 3/4 = 7 3/4 = 7 · 4 + 3/4= 28 + 3/4 = 31/4

To find a new numerator:

a) Multiply the whole number 7 by the denominator 4. Whole number 7 equally 7 * 4/4 = 28/4

b) Add the answer from previous step 28 to the numerator 3. New numerator is 28 + 3 = 31

c) Write a previous answer (new numerator 31) over the denominator 4.

Seven and three quarters is thirty-one quarters

Subtract: 31/4 - 2/25= 31 · 25/4 · 25 - 2 · 4/25 · 4 = 775/100 - 8/100 = 775 - 8/

100 = 767/100

6 0

2 years ago

Read 2 more answers

Help please.!!

Dafna11 [192]

Answer: The answer is (y^2) to the power of -0.5

Step-by-step explanation:

8 0

3 years ago

15 POINTS!

joja [24]

8x + (2x - 14)= 7x + 3x -14

10x -14= 10x - 14

These equations are identical, so it would be the identity property and the answer would either be identity or the fancy 'R'.

6 0

3 years ago

What is the area of sector GPH?

riadik2000 [5.3K]

Answer:

Area of GPH = pi x 15^2 x 40/360 = 78.54 (yd2)

Hope this helps!

3 0

4 years ago

Read 2 more answers