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2 years ago

Helppp 1st problem: 4x + 6 < 30 2 problem: 3x -5 > 16

Mathematics

1 answer:

Romashka [77]2 years ago

4 0

Step-by-step explanation:

please check your question once and chose correct answer which one is helpful to you

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During a period of 45 days, Delynn played soccer on 3/5 of the days. On how many days did she play soccer?

Archy [21]

Answer:

Step-by-step explanation:

No. of days Delynn played soccer = 3/5 of 45

= (3/5) * 45 = 3*45/5 = 3*9

= 27 days

8 0

2 years ago

Read 2 more answers

When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100

ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the future value FV.

In order to see the rule of formation, let's see the value (in $) for the first few years

End of year 0

1,000

End of year 1(capital + interest + new deposit)

1,000*(1.09)+10

End of year 2 (capital + interest + new deposit)

(1,000*(1.09)+10)*1.09 +10 =

$\bf 1,000*(1.09)^2+10(1+1.09)$

End of year 3 (capital + interest + new deposit)

$\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)$

and we can see that at the end of year 50, the future value is

$\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}$

The sum

$\bf 1+1.09+(1.09)^2+...+(1.09)^{49}$

is the sum of a geometric sequence with common ratio 1.09 and is equal to

$\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356$

and the future value is then

$\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564$

The present value PV is

$\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62$

rounded to the nearest hundredth.

5 0

2 years ago

Solve for x. 3x ^2 -4 = 8

LenKa [72]

Answer:

x = ±2

Step-by-step explanation:

3x ^2 -4 = 8

Add 4 to each side

3x ^2 -4+4 = 8+4

3x^2 =12

Divide each side by 3

3x^2 =12

3x^2/3 = 12/3

x^2 = 4

Take the square root of each side

sqrt(x^2) = ±sqrt(4)

x = ±2

5 0

3 years ago

Read 2 more answers

a mail truck picks up two boxes of mail from the post office. the total weight of the boxes is 32 pounds . one box is 8 pounds h

Dmitrij [34]

One box is 24lb another box is 8 because i half of 32 is 16 and 1/2 of 166 is 8 so 16 + 8 = 24 leaving another 8 behind

4 0

3 years ago

4 2/3 miles in 3/4 hour 4/23 divided by 3/4 ? NEED FAST ANSWERS !

scZoUnD [109]

Answer:

= 12 miles per hour

Step-by-step explanation:

This is a fraction equal to

30 miles ÷ 2.5 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

30 miles ÷ 2.5

2.5 hours ÷ 2.5

12 miles

1 hour

12 miles

hour

= 12 miles per hour

5 0

2 years ago