Answer:
<h2>
</h2>
Step-by-step explanation:
<h3>
</h3>
<u>First of all multiply through by 7</u>
We have
<h3>
</h3>
<u>Expand the terms in the bracket</u>
That's
<h3>
</h3>
<u>Add 16x to both sides</u>
That's
<h3>
</h3>
<u>Divide both sides by 30</u>
We have the final answer as
<h3>
</h3>
Hope this helps you
The answer for this problem is 7,200
Answer:
- The amount invested at 5%=$77,000
- The amount invested at 9%=$349,000
Step-by-step explanation:
- Let the amount invested at 5% simple interest =$x
He invested $41,000 more than 4 times the amount at 9%.
- This amount is: $(4x+41000)
Total Annual Interest Earned = $35,260
Therefore, Time=1 year
Simple Interest
Therefore, his total interest
=Interest from Investment 1 + Interest from Investment 2
Therefore:
The amount invested at 5%=$77,000
The amount invested at 9%=$(4*77,000+41000)=$349,000
Answer: Mike's arm span is 7.165 cm longer than the George's one.
Step-by-step explanation:
We have that the association between height and arm span is modeled by the equation
y = 4.5 + 0.977*x
where y is height and x is arm span.
Mike is 172 cm tall, so his arm span is:
172cm = 4.5 + 0.977*x
x = (172 - 4.5)/0.977 = 171.443 cm
and George is 165 cm tall, so his arm span is:
x = (165 - 4.5)/0.977 = 164.278 cm
Then the difference between their arm span is:
171.443cm - 164.278cm = 7.165 cm
So Mike's arm span is 7.165 cm longer than the George's one.
Answer:
The answer is below
Step-by-step explanation:
a) Triangle A is attached in the image below.
The base of triangle A is 3 units and its height is 3 units. The area of a triangle is given as:
Area = (1/2) × base × height
Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²
Area of the scaled copy = 72 unit²
Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16
Hence the scaled copy area is 16 times larger than that of triangle A.
b) For the scaled copy:
Area of the scaled copy = (1/2) × base × height = 72 unit²
base × height = 144
Since the base and height are equal
base² = 144
base = 12, also height = 12
Base of scaled copy = 12 = 4 × base of triangle A
Therefore the scale factor used is 4