James receives a pay increase of 100% per month and has a starting salary of $500.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let b represent the rate of pay increase and a represent the initial pay.
Let us assume that he had received 128000 after the 8 months. hence:
128000 = ab⁸ (1)
Also in the 10th month, he had received 512000, hence:
512000 = ab¹⁰ (2)
From the both equations:
a = 500, b = 2
rate of increase = 200% - 100% = 100%
James receives a pay increase of 100% per month and has a starting salary of $500.
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Answer:
285.12
Step-by-step explanation:
discount amount = 45/100 x 480= 45x48/10
=216.0
price after discount= 480-216=264
sales tax= 8/100 x 264=21.12
total money spent = 264+21.12=285.12
<h2>For the number 1<u>.</u><u>.</u></h2>
<h2><u>angle </u><u>at </u><u>center </u><u>=</u><u> </u><u>2</u><u>×</u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>at </u><u>circumference</u></h2><h2><u>the </u><u>angle </u><u>at </u><u>center </u><u>(</u><u>o)</u><u> </u><u>is </u><u>equal</u><u> </u><u>to</u><u> </u><u>1</u><u>4</u><u>1</u></h2>
<u>therefore:</u>
<h2><u>1</u><u>4</u><u>1</u><u> </u><u>=</u><u> </u><u>2</u><u>x</u></h2><h2><u>divide</u><u> </u><u>both </u><u>sides </u><u>by </u><u>2</u></h2><h2><u>x </u><u>=</u><u> </u><u>7</u><u>0</u><u>.</u><u>5</u></h2>
<u>option</u><u> </u><u>(</u><u>A)</u><u>.</u>
<u>(</u><u> </u><u>the </u><u>number </u><u>2</u><u> </u><u>and </u><u>3</u><u> </u><u>questions</u><u> </u><u>aren't</u><u> </u><u>correct </u><u>)</u>
Answer:
The shorter piece x = 8.4 in
The longer one y = 15.6 in
Step-by-step explanation:
If we cut a string length L in to unequal pieces we get two pieces
first one with length x and the other one with length y
Let call x the smaller piece, then y = L - x will be the longer one
If x = 35 % then
x = 0,35* L and
y = L - x = L - 0,35*L ⇒ y = 0,65 L ⇒ y = 0.65*24
Now if L = 24 in
x = 0,35*24 ⇒ x = 8.4 in
and
L - x = 0.65*L ⇒ L - x = 0.65*24 y = L - x = 15.6 in
as way of verification you can add the length of the two pieces and find:
8.4 + 15.6 = 24 in
C. Exactly one unique triangle exists with the given side lengths.
<u>Step-by-step explanation:</u>
A triangle consists of three sides, depending on the measurement of the sides, naming of the triangles can be varied.
If all the three sides are equal in length, it is said to be an equilateral triangle. Only one triangle can be formed using the measures of 7 in, 7 in, 7 in, that is all the three sides are same in measurement of 7 inches.
So, Exactly one unique triangle can be produced with the given side lengths.
