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Usimov [2.4K]
3 years ago
5

There are 4 consecutive integers that have a sum of 338. What is the least of these integers?

Mathematics
1 answer:
vovangra [49]3 years ago
7 0

Answer:

The least of the four integers is 83.

Step-by-step explanation:

Let x be the first integer.

x + (x + 1) + (x + 2) + (x + 3) = 338

4x + 6 = 338

4x = 332

x = 83

83 + 84 + 85 + 86 = 338

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If $190 is invested at an interest rate of 11% per year and is compounded continuously, how much will the investment be worth in
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Answer:

$295.01

Step-by-step explanation:

Using the compounding continuously formula, we are looking for A.  We have that P = 190; r = .11 (always use the decimal form of the rate!); and t = 4.  Filling in we have:

A=190e^{(.11)(4)}

Simplifying that multiplication:

A=190e^{.44}.

On your calculator, raise e to the .44 power to get

A = 190(1.552707219) and

A = $295.01

5 0
3 years ago
2. Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work
Nostrana [21]
On this picture is shown a quadrilateral inscribed in a circle and by the Inscribed Quadrilateral Theorem the angles on the opposite vertices are supplementary, or in other words are equals to 180 degrees. 

On this exercise it is asked to find the measure of angle B, First of all, you need to find the value of x. To so you have to select two opposite angles on this case angles A and C.

m<A+m<C=180      Substitute the given values for angles A and C
    x+2+x-2=180       Combine like terms
             2x=180       Divide by 2 in both sides to isolate x
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Now, that the value of x is known you can substitute it in the expression representing angle D, and then subtract that number from 180 to find the measure of angle B.

m<D=x-10             Substitute the value of x
m<D=90-10           Combine like terms
m<D=80

m<B=180-m<D       Substitute the value of angle D
m<B=180-80           Combine like terms 
m<B=100

The measure of angle B is 100 degrees, and the value of x is 90.
7 0
3 years ago
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Alexxandr [17]
The anser would be 6.75
6 0
3 years ago
Read 2 more answers
I need help please……..
Lemur [1.5K]

Answer:

A and D

explanation:

The other two answers looks like opinions

7 0
3 years ago
Factor to write an equivalent expression.(What is the Greatest Common Factor?).<br><br> −9x+15y
KengaRu [80]

Answer:

GCF is 3

Step-by-step explanation:

Given the expression -9x + 15y

First, we need to find ther individual factors

-9x = -3 *3 * x

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Since 3 is common to both factors

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Hence the GCF is 3

3 0
3 years ago
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