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3 years ago

Find four consecutive integers whose sum is 82

Mathematics

1 answer:

Brrunno [24]3 years ago

4 0

Answer:

19, 20, 21, and 22

Step-by-step explanation:

19+20+21+22 = 82

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Find the area between the curves x=-2,x=3,y=4x,y=x-5

mixas84 [53]

Those are all lines...

So the x interval is from -2 to 3, because of x=-2 and x=3

The upper line is y(u)=4x and the lower line is y(l)=x-5

So the area between the two lines is:

A=⌠y(u)-y(l) dx

A=⌠4x-x+5 dx

A=⌠3x+5 dx

A=[3x^2/2+5x]

A=[(3x^2+10x)/2], x=[-2,3]

A=(1/2)(27+30-(12-20))

A=(1/2)(57+8)

A=(1/2)(65)

A=32.5 u^2

5 0

3 years ago

keiko has seven colors of lanyard. she uses three different colord to make a keychain. how many different combiantions can she c

Drupady [299]

She can make 12 different combinations.
If she used three different colors for the keychain, there's still 4 other colors left.
4 x 3 = 12

7 0

3 years ago

Read 2 more answers

Claire runs a rooftop nursery in the heart of the city. One day, she cuts 25 tulips, 32 violets, and 40 sunflowers. She sells th

jekas [21]

Answer:

(2) and (3)

Step-by-step explanation:

(2) shows the total cost of the flowers, minus 10% of the total cost, and 100% - 10% = 90%

(3) shows them taking 90% of the total cost, just like (2)

4 0

3 years ago

How do the gcf and the lcm help you when multiplying and adding or subracting fractions

kari74 [83]

<h3>Explanation:</h3>

GCF: the greatest common factor of numerator and denominator is a factor that can be removed to reduce the fraction.

Example

The numerator and denominator of 6/8 have GCF of 2:

6/8 = (2·3)/(2·4)

The fraction can be reduced by canceling those factors.

(2·3)/(2·4) = (2/2)·(3/4) = 1·(3/4) = 3/4

___

LCM: the least common multiple of the denominators is suitable as a common denominator. Addition and subtraction are easily performed on the numerators when the denominator is common.

Example

The fractions 2/3 and 1/5 can be added using a common denominator of LCM(3, 5) = 15.

2/3 + 1/5 = 10/15 + 3/15 = (10+3)/15 = 13/15

4 0

4 years ago

An investment company pays 8% compounded semiannually. You want to have $12,000 in the future. (A) How much should you deposit

Leno4ka [110]

Before we start answering the question, let's define the compound interest formula:
$A = P(1+ \frac{r}{n}) ^{nt}$
Where:
'A' is the amount of money in dollars
'P' is the principal amount of money in dollars
'r' is the interest rate (decimal)
'n' is the number of times interest is compounded per year
't' is the time in years

(A) Find Principal Amount
Given:
A = 12,000
P = ?
r = 0.08
n = 2 (semiannually)
t = 5
Now we plug our values in and solve:
$12,000 = P(1+ \frac{0.08}{2}) ^{(2)(5)}$
$12,000 = P(1.04) ^{10}$
$P = 8106.77$
∴ You would have to deposit $8106.77 in order to have $12,000 in 5 years from now.

(B) Find Principal Amount
Same given values as above, with the exception of 't' which is now 10 instead of 5.
$12,000 = P(1+ \frac{0.08}{2}) ^{(2)(10)}$
$12,000 = P(1.04) ^{20}$
$P = 5476.64$
∴ You would have to deposit $5476.64 in order to have $12,000 in 10 years from now.

Hope this helps!

4 0

4 years ago