Baseball Games

A school sells adult and student tickets to a football game. Mrs. Smith purchases two adult tickets and four student tickets for

Elina [12.6K]

Adult ticket is 8$. student tickets are 5$

8 0

3 years ago

Question 10

antoniya [11.8K]

Answer:

$11,500 was invested at 13%.

$17,500 was invested at 4%

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$

In this question:

Loans totaling 29,000.

P was invested at 13%

29000 - P was invested at 4%.

First investment:

Principal P.

Interest 13% = 0.13.

One year, so t = 1.

So

$E_{1} = P*0.13*1$

$E_{1} = 0.13P$

Second investment:

Principal 29000 - P.

Interest 4% = 0.04.

One year, so t = 1.

So

$E_{2} = (29000-P)*0.04$

The total interest earned for both loans was $2,195.00.

This means that $E_{1} + E_{2} = 2195$

So

$E_{2} = 2195 - E_{1}$

So we solve the following system:

$E_{1} = 0.13P$

$E_{2} = (29000-P)*0.04$

$2195 - E_{1} = (29000-P)*0.04$

$2195 - 0.13P = 1160 - 0.04P$

$0.09P = 2195 - 1160$

$P = \frac{2195 - 1160}{0.09}$

$P = 11500$

$11,500 was invested at 13%.

29000 - 11500 = 17500

$17,500 was invested at 4%

5 0

3 years ago

( 10 points) just feel like giving points away

seraphim [82]

Answer:

Point q is closest to 3.16...

8 0

3 years ago

Read 2 more answers

Two scuba divers are 30m apart below the surface of the water. They both spot a shark that is below them. The angle of depressio

Ostrovityanka [42]

Answer:

distance of diver 1 from the shark ≈ 18.88 m

Step-by-step explanation:

The illustration forms a triangle. The base of the triangle which is their distance apart is given as 30 m . The known angle of the triangle are 52° and 39°. To find the unknown side we subtract the sum of 52° and 39° from 180°. Note that the total angle in a triangle is 180°.

Therefore,

180 - (52 + 39) = 180 - 91 = 89 °. Now the three angle of the triangles are 52°, 39° and 89°.

Using the law of sine we can find the distance of the diver 1 from the shark.

let a = distance of the first diver to the shark.

a/sin 39° = 30/sin 89°

cross multiply

a sin 89° = 30 sin 39°

divide both sides by sin 89°

a = 30 sin 39°/sin 89°

a = 30 × 0.62932039105 /sin 89°

a = 18.8796117315 /0.99984769515

a = 18.8824876258

a ≈ 18.88 m

3 0

3 years ago

This is part 2 of my previous question(s)

faltersainse [42]

Answer:

Look at bolded numbers

Step-by-step explanation:

1. 40-(-40)=40+40=80

2. -4-(-36)=-4+36=32

-- makes a positive

3 0

2 years ago