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kow [346]
3 years ago
13

John took all his money from his savings account. He spent $88 on a radio and 1/4 of what was left on presents for his friends.

Of the money remaining, John put 4/11 into a checking account and the last remaining $420 was left to charity. How much money did John originally have in his savings account?
Mathematics
1 answer:
gayaneshka [121]3 years ago
6 0

Answer:

$968

Step-by-step explanation:

x= the money John originally had in his savings account

The statement says that John spent $88 on a radio and 1/4 of what was left on presents for his friends. This means that the remaining money is 3/4 of the total amount minus the money spent on the radio:

3/4(x-88)

Then, it says that of the money remaining, John put 4/11 into a checking account and the last remaining $420 was left to charity. Since, he spent 4/11 of the remining 3/4(x-88), the remaining is 7/11 of that and that remaining is equal to $420 that was the money left at the end:

7/11(3/4(x-88))= 420

21/44(x-88)=420

21/44x-42=420

21/44x=462

x=968

According to this, the money that John originally had in his savings account was $968.

He spent $88 on a radio: 968-88= 880

1/4 of what was left on presents for his friends: 880/4= 220

880-220=660

Of the money remaining, John put 4/11 into a checking account: 660*(4/11)=240

the last remaining $420 was left to charity: 660-240= 420

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A bird sees a worm on the ground 50 m. below. The bird dives for the worm at a speed of 6 m/sec. The function h\left( t \right)
iragen [17]

<u>Given</u>:

The height of the bird at time t is given by the function h(t)=-4.9t^2+6t+50

We need to determine the time it takes the worm to be eaten by the bird.

<u>Time taken:</u>

The time can be determined by substituting h(t) = 0 in the function.

Thus, we have;

0=-4.9t^2+6t+50

Switch sides, we get;

-4.9t^2+6t+50=0

Let us solve the equation using the quadratic formula.

Thus, we get;

t=\frac{-6 \pm \sqrt{6^{2}-4(-4.9) 50}}{2(-4.9)}

Simplifying, we get;

t=\frac{-6 \pm \sqrt{36+980}}{-9.8}

t=\frac{-6 \pm \sqrt{1016}}{-9.8}

t=\frac{-6 \pm 31.87}{-9.8}

The values of t are given by

t=\frac{-6 + 31.87}{-9.8}   and   t=\frac{-6 - 31.87}{-9.8}

t=\frac{25.87}{-9.8}    and   t=\frac{-37.87}{-9.8}

t=-2.4    and   t=3.9

Since, the value of t cannot be negative, then t=3.9

Thus, the time taken by the bird to eat the worm is t=3.9 seconds.

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3 years ago
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Answer:

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Step-by-step explanation:

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Rick buys 3 CDs and 5 video games. The cost of one video game is $12.00 more than the cost of one CD. If Rick spends $164.00, wh
Dmitry [639]

Step-by-step explanation:

x = price per video game

y = price per CD

164 = 5x + 3y

and then we know

x = y + 12

now we can use this as substitute in the first equation :

164 = 5(y + 12) + 3y = 5y + 60 + 3y = 8y + 60

104 = 8y

y = $13

x = y + 12 = 13 + 12 = $25

so, each CD costs $13.

4 0
3 years ago
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