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ella [17]
3 years ago
7

7s. 49

Mathematics
1 answer:
Greeley [361]3 years ago
4 0
The correct question is
(7s)/(s^2 - 14s + 49) - (49)/(s^2 - 14s + 49)

----- > (7s-49)/(s^2 - 14s + 49)

s^2 - 14s + 49------------ > <span>solving the quadratic equation
</span>
s1=7   s2=7 ------------> see the attached figure
therefore
s^2 - 14s + 49=(s-7)(s-7)=(s-7)²
<span>substituting
</span>(7s-49)/(s^2 - 14s + 49)=(7s-49)/(s-7)²=7[s-7]/[(s-7)²]------ > 1/(s-7)

the answer is 1/(s-7)

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How long will it take you to double an amount of $500 if you invest it at a rate of 4% compounded monthly?
AveGali [126]

Answer:

Number of year = 17 year 4 month (Approx.)

Step-by-step explanation:

Given:

Current amount = $500

Future amount = 2 x 500 = $1,000

Rate of interest = 4%

Find:

Number of year

Computation:

Rate [Monthly] = 4% / 12 = 0.00333

Total time = 12 x n = 12n

A = P[1+r]¹²ⁿ

1000 = 500[1+0.003333]¹²ⁿ

2 = [1+0.003333]¹²ⁿ

2 = [1.003333]¹²ⁿ

Number of year = 17.358

Number of year = 17 year 4 month (Approx.)

3 0
3 years ago
Can someone help right away!! please!!
larisa [96]

Answer:

y = - 2x + 1

Step-by-step explanation:

Substitute an x value from the table into the equation

x = 1 : y = - 2(1) = - 2 ← require to add 1 to obtain y = - 1

x = 4 : y = - 2(4) = - 8 ← require to add 1 yo obtain y = - 7

Then equation describing the relationship is

y = - 2x + 1

4 0
3 years ago
Which expression is equivalent to 4^5x4^-2
Ivan

Answer:

4^3

Step-by-step explanation:

When you are multiplying exponents with the same base (for this problem the base is 4) you add together the exponents. It is kinda hard to explain but that is just a rule you can use. So, 4^(5+(-2))=4^3

8 0
3 years ago
Two angles are supplementary. The measure of one angle is 10° more than three times the other. Find the measure of each angle
Marizza181 [45]

The measure of angles are 137.5 degrees and 42.5 degrees

Solution:

Given that two angles are supplementary

Let "a" be the one of supplementary angle

Let "b" be the other supplementary angle

Given that measure of one angle is 10 degree more than three times the other

measure of one angle = 10 + three times the other angle

a = 10 + 3b ---- eqn 1

We know that,

Two Angles are Supplementary when they add up to 180 degrees.

a + b = 180 ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "b"</u></em>

Substitute eqn 1 in eqn 2

10 + 3b + b = 180

10 + 4b = 180

4b = 170

<h3>b = 42.5</h3>

From eqn 1,

a = 10 + 3(42.5)

a = 10 + 127.5 = 137.5

<h3>a = 137.5</h3>

Thus the measure of angles are 137.5 degrees and 42.5 degrees

7 0
4 years ago
You have two credit cards. One has a balance of $3,745.00 at a 6.25% apr and the other has a balance of $1,045.00 and is depende
Anika [276]

3745 x .0625 / 12  + 1045 x .1025 / 12 = 28.43.

$28.44 would be the closest.

Hope this helps & good luck. :)

4 0
4 years ago
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