A total of 600 tickets were sold for a concert

Mathematics

1 answer:

Monica [59]3 years ago

8 0

I don’t understand that’s not a question?

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781 books second = books minute

hram777 [196]

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You take 781 books a second and multiply that by 60 since there’s 60 seconds in a minute

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2 years ago

Kyle has $900 in cash received for high school graduation gifts from various relatives. He wants to invest it in a certificate

poizon [28]

Given that Kyle has received 900$ in cash as a gift and Kyle wants to invest that money in CD with 4% compound interest which is being compounded annually.

That means interest rate = 4% = $\frac{4}{100} = 0.04$ in decimals.

Since interest is compounded annually, we have to use compound interest formula.

That is amount after time t is $A= P(1+\frac{r}{n}) ^{nt}$

Where P- initial amount = 900

r= rate of interest in decimals = 0.04

n= number of times interest is compounded per year = 1

t= number of years the money is invested = 5

Hence A = $900(1+\frac{0.04}{1} )^{1*5} = 900(1.04)^{5}$

= $1094.9876

So, at the end of five year period, Kyle will have 1094.9876$ to put down in his car.

7 0

3 years ago

Jeff bicycles 126 miles at the rate of r mph. The same trip would have taken 2 hours longer if he had decreased his speed by 4 m

weqwewe [10]

Given Information:

Distance = 160 miles

Required Information:

Rate = r = ?

Answer:

Rate = r = 20 mph

Step-by-step explanation:

Recall that the rate is given by

Rate = distance/time

$r = \frac{d}{t} \\\\t = \frac{d}{r} \\\\t = \frac{160}{r} \\\\$

It is given that the same trip would have taken 2 hours longer if he had decreased his speed by 4 mph.

Mathematically,

$\frac{160}{(r-4)} = \frac{160}{r} + 2 \\\\$

Simplify the equation

$\frac{160}{(r-4)} - \frac{160}{r} = 2 \\\\\frac{160r - 160(r-4)}{r(r-4)} = 2 \\\\\frac{160r - 160r+640)}{r(r-4)} = 2 \\\\160r - 160r+640 = r(r-4) (2) \\\\640 = r(r-4) (2) \\\\640 = (r^2 - 4r) (2) \\\\640 = 2r^2 - 8r \\\\2r^2 - 8r-640 =0 \\\\2(r^2 - 4r-320) =0 \\\\r^2 - 4r-320 =0 \\\\$