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3 years ago

9

6. Sam has a bank account that pays 4% simple interest. The balance is $880. How long will it take for the account to grow to $9

00?

1 answer:

barxatty [35]3 years ago

3 0

Answer:

1 mounth

Step-by-step explanation:k

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Two mechanics worked on a car. The first mechanic charged S95 per hour, and the second mechanic charged S115 per hour.

Norma-Jean [14]

The first mechanic worked for 10 hours and the second mechanic worked for 15 hours.

Step-by-step explanation:

Given,

Charges of first mechanic = $95 per hour

Charges of second mechanic = $115 per hour

Total hours = 25

Total amount charged = $2675

Let,

The number of hours worked by first mechanic = x

The number of hours worked by second mechanic = y

According to given statement;

x+y=25 Eqn 1

95x+115y=2675 Eqn 2

Multiplying Eqn 1 by 95

$95(x+y=25)\\95x+95y=2375\ \ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(95x+115y)-(95x+95y)=2675-2375\\95x+115y-95x-95y=300\\20y=300$

Dividing both sides by 20

$\frac{20y}{20}=\frac{300}{20}\\y=15$

Putting y=15 in Eqn 1

$x+15=25\\x=25-15\\x=10$

The first mechanic worked for 10 hours and the second mechanic worked for 15 hours.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

6 0

3 years ago

The ratio of boys to girls in band class was 3 to 5. If there were 24 boys. How many girls were in band class?

Tamiku [17]

Answer:

40 girls

Step-by-step explanation:

Set up a proportion where x is the number of girls in band class:

$\frac{3}{5}$ = $\frac{24}{x}$

Cross multiply and solve for x:

3x = 120

x = 40

So, there were 40 girls in band class.

7 0

2 years ago

Read 2 more answers

What is the image of (0,-8)(0,−8) after a reflection over the line y=-xy=−x?

AnnZ [28]

Answer:

(8, 0 )

Step-by-step explanation:

under a reflection in the line y = - x

a point (x, y ) → (- y, - x ) , then

(0, - 8 ) → (8, 0 )

5 0

1 year ago

what is the volume of the cone with radius 6 inches and height 10 inches express the answer in terms of pi

Vanyuwa [196]

Answer:

V = (1/3)(π)(6 in)²(10 in) = 120π in³

Step-by-step explanation:

The volume of a cone of radius r and height h is V = (1/3)πr²h.

Here, that volume is V = (1/3)(π)(6 in)²(10 in) = 120π in³

6 0

3 years ago

Read 2 more answers

A particular isotope has a half-life of 74 days. If you start with 1 kilogram of this isotope, how much will remain after 150

shtirl [24]

$\bf \stackrel{150~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &150\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{150}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{75}{37}}\implies \boxed{A\approx 0.24536}$

$\bf \stackrel{300~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &300\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{300}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{150}{37}}\implies \boxed{A\approx 0.060202}$

6 0

3 years ago