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goblinko [34]
2 years ago
7

You Just received a 6 percent raise in allowance or an increase of 312.00 per year how much per year were you earning before the

RAISE
Mathematics
1 answer:
Alona [7]2 years ago
6 0

before the raise you were earning 100% of "x", we also know that 6% of "x" is 312, since that is what you've got in the raise, therefore

\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 312&6 \end{array}\implies \cfrac{x}{312}=\cfrac{100}{6}\implies \cfrac{x}{312}=\cfrac{50}{3} \\\\\\ 3x=15600\implies x = \cfrac{15600}{3}\implies \boxed{x = 5200}

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Please help! Thanks in advance.
alukav5142 [94]
In this problem, we need to plug in the given x values for f(x)=0 and find a and b.

When we plug in 1, we get: 2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0

Simplify:
2 - 5 - 14 + a + b = 0
- 17 + a + b = 0
a + b = 17

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0
512 - 320 - 224 + 4a + b = 0
- 32 + 4a + b = 0
4a + b = 32

Now we have our second one. We can combine them:
a + b = 17 \\ 4a + b = 32

I use elimination method which is easier here.

Multiply the top equation by -1: - a - b = - 17 \\ 4a + b = 32

Add them up:
3a = 15

Simplify:
a = 5

Now we have a, we can plug in one of those equations to find b:
5 + b = 17
b = 17 - 5
b = 12

So, the answers are a=5 and b=12 .
6 0
3 years ago
Please click on the file and answer ASAP.
Annette [7]

Answer: Part a) 375 pounds, Part b) 8 words

Step-by-step explanation:

a)

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Since n represents the number of words there are, we can plug in 20 for n into the equation to get:

C = 15*20 + 75 pounds

C = 300 + 75 pounds

C = 375 pounds

b)

Since C represents the cost of the advert, we can plug in 195 for C into the equation to get:

195 = 15n + 75

Subtract 75 from both sides:

120 = 15n

Divide both sides by 15:

n = 8 words

6 0
2 years ago
The area of a rectangle is 60 square inches.
xz_007 [3.2K]
X=7 because 7-3 = 4, 7+8= 15,15x4=60.
7 0
2 years ago
What is the sum of the measures of the interior angles of a 14-gon?
ICE Princess25 [194]
D 2520 -------------------------------------------
6 0
3 years ago
Helppppppp mathhhhhhhh
aivan3 [116]
Again using the Pythagorean Theorem:

h^2=x^2+y^2, where h is the hypotenuse of a right triangle and x and y are the side lengths.  You are given that the hypotenuse is 34 ft and the base side is 16ft. Let h=34, x=16, and y=height, then you have:

34^2=16^2+y^2

y^2=34^2-16^2

y^2=1156-256

y^2=900

y=√900

y=30 ft

So the ladder will reach a spot 30 feet high on the building. 
8 0
3 years ago
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