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crimeas [40]
3 years ago
8

Instructions: Type the correct answer in each box. If necessary, use / for the fraction bar.

Mathematics
1 answer:
Alinara [238K]3 years ago
7 0
The slope of diagonal <em>AB</em> is 0 and its equation is y=2.
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What is the factorization of the trinomial below? x3 - 10x2 + 24x
Lunna [17]
X3 - 10x2 + 24x 
<span>= x(x2 - 10x + 24) </span>
<span>= x(x2 - 4x - 6x + 24) </span>
<span>= x[ x(x - 4) - 6(x - 4) ] </span>
<span>= x(x - 6)(x - 4)</span>
8 0
3 years ago
Read 2 more answers
Please help!!!
svetoff [14.1K]

Answer:

Step-by-step explanation:

<u>Compound Interest</u>

It's the type of financial calculations that includes the interest of previous periods into the new interests earned by some initial investment or principal P.

If we want to compute the final value FV of a series of n payments R at a fixed compound interest rate i, then

FV=F_m\cdot R

Where

\displaystyle F_m=\frac{(1+i)^n-1}{i}

The question provides us the following data

i=10% compounded twice a year

n=3 1/2 years

FV=15,000

We need to convert the number of periods and the interest rate to a semester base:

\displaystyle i=\frac{10}{100\cdot 2}=0.05

n=3.5\cdot 2= 7\  semesters

Let's calculate Fm

\displaystyle F_m=\frac{(1+0.05)^7-1}{0.05}=8.142

Knowing that

FV=F_m\cdot R

Solving for R

\displaystyle R=\frac{FV}{F_m}=\frac{15,000}{8.142}=1,842.30

Sara should deposit $1,842.30 twice a year to have the down payment for her own restaurant

3 0
3 years ago
Are all fractions integers?
Elanso [62]

Answer:

No

Step-by-step explanation:

<u>Fractions and decimals are not integers.</u> Any and all whole numbers like 1, 2, 3... Or even negative numbers like -1, -2, -3 etc. are all integers. However any fractions, decimals, etc. are NOT integers.

<u>Hope this helps and have a nice day!</u>

4 0
3 years ago
Read 2 more answers
chris runs 2.3 miles every day of the week, except sunday. on sunday he only runs 2 miles. how many miles will he run in 2 weeks
Ludmilka [50]

Answer:

He will run 31.6 miles in two weeks.

Step-by-step explanation:

6 days a week = 2.3 miles

6 days · 2 weeks = 12 days total running 2.3 miles

1 day a week = 2 miles

1 day · 2 weeks = 2 days total running 2 miles

(12 · 2.3) + (2 · 2)

27.6 + 4

31.6 miles

7 0
3 years ago
Solve the following equations;-<br><br> x - 9 /√x + 3 =1
fgiga [73]

Answer:

13 , 6.

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation to us is ,

\sf\implies \dfrac{ x -9}{\sqrt{x+3}}= 1

Cross multiply ,

\sf\implies x - 9 =\sqrt{ x +3}

Squaring both sides ,

\sf\implies (x - 9)^2 = x + 3

Simplify the whole square ,

\sf\implies x^2+9^2-2.9.x = x +3 \\

\sf\implies x^2+81 - 18x = x -3

Add 3 and subtract x on both sides ,

\sf\implies x^2 -18x-x +81-3=0

Simplify ,

\sf\implies x^2 -19x +78=0

Split the middle term of the quadratic equation,

\sf\implies x^2-13x-6x+78=0

Take out common ,

\sf\implies x( x -13)-6(x-13)=0

Take out ( x -13 ) as common ,

\sf\implies ( x -13)(x-6)=0

Equate both factors to 0 ,

\sf\implies \boxed{\pink{\sf x = 13,6}}

<u>Hence</u><u> the</u><u> </u><u>value</u><u> of</u><u> </u><u>x</u><u> is</u><u> </u><u>1</u><u>3</u><u> </u><u>or </u><u>6</u><u> </u><u>.</u>

7 0
2 years ago
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