Answer: the total amount that you can earn in 15 years is $737245. Option C
Step-by-step explanation:
You receive an annual salary of $32,900 and each year, you are assured of a 5.5% raise. Assuming there was no raise, you get 100% of your previous salary each year. With a raise of 5.5%, you will get 100 + 5.5 = 105.5% of your previous salary for each year. This is a geometric progression and we want to determine the sum of 15 terms(15 years).
The formula for the sum of terms in a geometric progression is
Sn = [a(r^n - 1)]/ r - 1
Sn = sum of n terms
a = the first term
n = number of terms
r = common ratio
From the information given,
a = 32900
n = 15
r = 105.5/100 = 1.055
S15 = [32900(1.055^15 - 1)] / 1.055 - 1
S15 = [32900(2.23247649 - 1)] / 0.055
S15 = 32900 × 1.23247649) / 0.055
S15 = 737245.0277
S15 = $737245
You could either find how far Chris can run in 60 minutes, or write an equation of ratios:
x 35 min
--------- = --------------
6 mi 50 min
Solving for x: 50x = 210; x = 4.2 miles (answer)
Let be Z the money ;
We have ( 40 / 100 ) x Z = $85 ;
( 4 / 10 ) x Z = $85 ;
( 2 / 5 ) x Z = $85 ;
Z = $( 85 x 5 ) ÷ 3 ;
Z = $425 ÷ 3 ;
Z = $141,66 ≈ $142 ;
Answer:
3(4+√2)
Step-by-step explanation:
Here we need to find the perimeter of the given figure. Here the given figure is made from a triangle and a square. The side lenght of the square is 3. We need to find the hypontenuse of the triangle in order to find Perimeter .
<u>•</u><u> </u><u>Using</u><u> </u><u>Pyth</u><u>agoras</u><u> Theorem</u><u> </u><u>:</u><u>-</u><u> </u>
⇒ h² = p² + b²
⇒ h² = 3² + 3²
⇒ h² = 9 + 9
⇒ h² = 18
⇒ h = √[ 9 × 2 ]
⇒ h = 3√2 .
Therefore the perimeter will be ,
⇒ P = 3√2 + 3 + 3 + 3 + 3
⇒ P = 3√2 + 12
⇒ P = 3( 4 + √2)
<h3><u>Hence</u><u> </u><u>the</u><u> </u><u>perim</u><u>eter</u><u> of</u><u> the</u><u> </u><u>figure</u><u> </u><u>is</u><u> </u><u>3</u><u>(</u><u>4</u><u>+</u><u>√</u><u>2</u><u>)</u><u> </u><u>.</u></h3>
Answer:
.25
1/4
are the numbers equivalent to 25%
