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3 years ago

Simplify (6x2 − 3 + 5x3) − (4x3 − 2x2 − 16). (1 point) a 2x3 − x2 + 21 b −2x3 + x2 − 21 c x3 + 8x2 + 13 d −x3 − 8x2 + 13

Mathematics

2 answers:

tatiyna3 years ago

4 0

Answer:

the answer is C.

Step-by-step explanation:

sattari [20]3 years ago

3 0

$(6x^2-3+5x^3)-(4x^3-2x^2-16)\\\\=6x^2-3+5x^3-4x^3+2x^2+16\qquad\text{combine like terms}\\\\=(5x^3-4x^3)+(6x^2+2x^2)+(-3+16)\\\\=x^3+8x^2+13\to\boxed{c.}$

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Citrus2011 [14]

Answer:

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Step-by-step explanation:

A translation is when a shape hoves to different coordinates but doesn't change size.

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3 years ago

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A principal of $3600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 6 years?

zaharov [31]

After 6 years the investment is $5555.88

Step-by-step explanation:

A principal of $3600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 6 years?

The formula used to find future value is:

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

where A(t) = Accumulated amount

P = Principal Amount

r = annual rate

t= time

n= compounding periods per year

We are given:

P = $3600

r = 7.5 %

t = 6

n = 1

Putting values in formula:

$A(t)=P(1+\frac{r}{n})^{nt}\\A(t)=3600(1+\frac{0.075}{1})^{6*1}\\A(t)=3600(\frac{1.075}{1})^6\\A(t)=3600(1.075)^6\\A(t)=3600(1.543)\\A(t)=5555.88$

So, After 6 years the investment is $5555.88

Keywords: Compound Interest formula

Learn more about Compound Interest formula at:

#learnwithBrainly

8 0

4 years ago

Solve the equation 5.5(x-3)=17+10.5

sveticcg [70]

Answer:

x= 8

Step-by-step explanation:

5.5(x-3)=17+10.5

5.5x - 16.5= 27.5

5.5x= 44

x= 8

8 0

3 years ago

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In 2010, the population of a city was 161,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 6.7%.

solniwko [45]

Answer:

99%

Step-by-step explanation:

2010 population = 161,000

From 2010 to 2015, the population grew by 8%.

2010 to 2015 = 161,000 + (8% of 161,000)

= 161,000 + (0.08 * 161,000)

= 161,000 + 12,880

= 173,880

2010 to 2015 = 173,880

From 2015 to 2020, it fell by 6.7%

2015 to 2020 = 173,880 - (6.7% of 173,880)

= 173,880 - (0.067 * 173,880)

= 173,880 - 11,649.96

= 162,230.04

2015 to 2020 = 162,230.04

what percent did the city grow from 2010 to 2020.

= 161,000 / 162,230.04 × 100

= 0.9924179270374 × 100

= 99.241792703743

Approximately, 99% to the nearest whole number

4 0

3 years ago

A tropical storm has been moving at 15 miles per hour for the past two days. Bess recorded that the storm moved 135 miles yester

Allushta [10]

Answer:

Bess has been keeping track of the storm for 14 hours.

Step-by-step explanation:

The tropical storm has been moving at 15 miles per hour.

Bess recorded that the storm moved 135 miles yesterday and 75 miles today. Total distance covered by storm is

$135+75=210$

The relationship between distance speed and time is defined as

$speed=\frac{distance}{time}$

$15=\frac{210}{time}$

$time=\frac{210}{15}$

$time=14$

Therefore, Bess has been keeping track of the storm for 14 hours.

8 0

3 years ago