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liberstina [14]
4 years ago
11

Find the y-intercept of the line 4x + 8y = 16.

Mathematics
1 answer:
aksik [14]4 years ago
3 0

Answer:

the y intercept is 8

Step-by-step explanation:

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Malliki Williams earned a $48,000 from royalties on her cookbook.She paid a 28% income tax on these royalties. The balance wasin
Nikitich [7]

Answer:

$20000 and $14560

Step-by-step explanation:

First, we need to get the total tax paid by Malliki Williams

To get that, we have to multiply her income tax (28%) by total royalties ($48000)

28% of $48000 = $13440

Balance after tax = $48000 - $13440

Balance = $34560

She invested some of the balance ($34560) at the rate of

3.25% ---- First investment

1.75% --- Second investment

Assume her first investment is x dollars

Definitely, her second investment would be $34560 - x

3.25% of x + 1.75% (34560 - x ) = 904.8

0.0325x + 0.0175(34560-x) = 904.8 ----- Open the bracket

0.0325x + 604.8x - 0.0175x = 904.8 ------ Collect like terms

0.0325x -0.0175x =904.8 - 604.8

0.015x = 300 ------ Divide both sides by 0.015

x = 300/0.015

x = 20000

Remember that x represents her first investment

Her second investment is $34560 - $20000 =$14560

4 0
3 years ago
I need both of these help!
marysya [2.9K]
The angle next to the angle 5x is 180 - 5x

All angles sum to 360

(6x - 58) + (2x + 4) + (180 - 5x) = 180
3x + 126 = 180
3x = 54
x = 18

For question 10, sum of angles in pentagon is 540 degrees

x + 105 + 85 + 114 + 126 = 540
x + 430 = 540
x = 110

3 0
3 years ago
How do you simplify this expression step by step using trigonometric identities?
olga55 [171]

\bf \textit{Pythagorean Identities}\\\\ 1+tan^2(\theta)=sec^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sec^2(\theta )cos^2(\theta )+tan^2(\theta )\implies \cfrac{1}{\begin{matrix} cos^2(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }\cdot \begin{matrix} cos^2(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} +tan^2(\theta ) \\\\\\ 1+tan^2(\theta )\implies sec^2(\theta )

5 0
3 years ago
Chris has 18 marbles and Kevin has 15 marbles. Chris gave half of his marbles to Kevin.
Helen [10]
Ok so…
The answer is: 15 more marbles
Because
18 divided by 2 is 9
15+9=24
Now Chris has 9
Kevin has 24
24-9=15
Hope this helps:)
5 0
2 years ago
Evaluate X + y? by replacing x with - 0.5 and y with - 0.25
victus00 [196]
-0,5+(-0.25)= -0,75
8 0
3 years ago
Read 2 more answers
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