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3 years ago

Trevor paints 1/6 of the fence surrounding his farm each day. How many days will it take him to paint 3/4 of the fence ?

Mathematics

1 answer:

Viefleur [7K]3 years ago

6 0

9514 1404 393

Answer:

4 1/2 days

Step-by-step explanation:

The time is given by ...

time = quantity/rate

time = (3/4 fence)/(1/6 fence/day) = (3/4)(6) days = 4 1/2 days

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Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account

Diano4ka-milaya [45]

Answer:

$\$180.55$

Step-by-step explanation:

step 1

<u><em>Simple interest</em></u>

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04$

substitute in the formula above

$A=2,250(1+0.04*10)$

$A=2,250(1.4)$

$A=\$3,150$

step 2

<u><em>Interest compounded annually</em></u>

we know that

The compound interest formula is equal to

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

where

A is the Final Investment Value

P is the Principal amount of money to be invested

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

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1$

substitute in the formula above

$A=2,250(1+\frac{0.04}{1})^{1*10}$

$A=2,250(1.04)^{10}$

$A=\$3,330.55$

step 3

Find the differences between the two final amounts

$A=\$3,330.55-\$3,150=\$180.55$

5 0

3 years ago

Compare 4.5x10^6 and 2.1x10^8 explain how you can compare them

Roman55 [17]

4.5 x 10^6 = 4,500,000
2.1 x 10^8 = 210,000,000

Therefore, 4.5 x 10^6 < 2.1 x 10^8

8 0

4 years ago

WILL GIVE BRAINLIEST!

madam [21]

Answer:

B: 4 liters of soda

Step-by-step explanation:

16 / 4 = 4

Therefore,

The snack committee mixed 4 liters of soda per liter of fruit punch.

5 0

3 years ago

Read 2 more answers

What is the slope of the line that passes through the point (-9,8) and (-3-1)?

natulia [17]

Answer:

Step-by-step explanation:

(x₁, y₁) = (-9 ,8) and (x₂ , y₂) = (-3 , -1)

$Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-1-8}{-3-[-9]}\\\\=\dfrac{-9}{-3+9}\\\\=\dfrac{-9}{6}\\\\=\dfrac{-3}{2}$

5 0

3 years ago

5.5(x+6 1/2)-(x+9 1/3)-(19-x)

anastassius [24]

The simplified form of the expression [5.5(x+6 1/2)-(x+9 1/3)-(19-x)] is 11x/2 + 89/12

<h3>What is the simplified form of the expression</h3>

Given the expression;

5.5(x+6 1/2) - (x+9 1/3) - (19-x)

First, we convert 6 1/2, 9 1/3 and 5.5 to an improper fraction

6 1/2 = 13/2, 9 1/3 = 28/3 and 5.5 = 11/2

So, we have

(11/2)( x + 13/2 ) - ( x + 28/3 ) - ( 19 - x )

Next, we remove the parentheses

11x/2 + 143/4 - x - 28/3 - 19 + x

11x/2 + 143/4 - 28/3 - 19

11x/2 + 317/12 - 19

11x/2 + 89/12

Therefore, the simplified form of the expression [5.5(x+6 1/2)-(x+9 1/3)-(19-x)] is 11x/2 + 89/12.

Learn more about fractions here: brainly.com/question/28039882

#SPJ1

3 0

2 years ago

Trevor paints 1/6 of the fence surrounding his farm each day. How many days will it take him to paint 3/4 of the fence ?​

Trevor paints 1/6 of the fence surrounding his farm each day. How many days will it take him to paint 3/4 of the fence ?