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Tanya [424]
2 years ago
14

Slater begins saving for college tuition. He invests $1000 in an account that pays 2.5% simple interest. How many years before h

is account has reached $1500?
Mathematics
1 answer:
Brrunno [24]2 years ago
6 0
The formula is Interest = principle times rate times time in years.
                        I=prt        

p=1000
r= 0.025
t=x

To find the amount of interest that is earned in a specific time frame, subtract the final amount of money by the principal. 1500-1000=500.

500 = 1000(0.025)x
500 = 25x   
x= 20 years
 
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The food costed $17 and was 85% of the total bill

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A helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. Angle ABC
In-s [12.5K]

Please consider the attached graph.

We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.

We will use trigonometric area formula to solve our given problem.

A=\frac{1}{2}a\cdot c\cdot\text{sin}(b), where angle b is angle between sides a and c.

For our given triangle a=5,c=8 and measure of angle b is 150 degrees.

A=\frac{1}{2}(5)\cdot (8)\cdot\text{sin}(150^{\circ})

A=5\cdot 4\cdot(0.5)

A=10

Therefore, the area of the triangle ABC is 10 square kilo-meters and option 'c' is the correct choice.

6 0
2 years ago
A Climbing Gym charges $10 to climb each day. A pair of Climbing shoes cost $84. It cost $169 to buy 6 days of climbing, one pai
yaroslaw [1]
Cost of 6 days climbing = $10 * 6 = $60
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8 0
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Solve for x: three fourths times x plus five fourths equals four times x
denis-greek [22]

Answer:

The value of x for the given expression is \dfrac{5}{13}

Step-by-step explanation:

Given as :

The statement is , three fourths times x plus five fourths equals four times x

So, \dfrac{3}{4} × x + \dfrac{5}{4} = 4 × x

<u>Now, rearranging the equation</u>

i.e 4 x -  \dfrac{3}{4} × x = \dfrac{5}{4}

Or, 4 x -  \dfrac{3 x}{4}  = \dfrac{5}{4}

Or, \dfrac{16 x - 3 x}{4}  = \dfrac{5}{4}

Or, \dfrac{13 x}{4}  = \dfrac{5}{4}

Or, 13 x = \dfrac{5}{4} × 4

Or, 13 x = 5

∴ x = \dfrac{5}{13}

Hence, The value of x for the given expression is \dfrac{5}{13} Answer

5 0
1 year ago
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