Use a factor<span> tree to express </span>60<span> as a </span>product<span> of prime </span>factors<span>. So the prime factorization of </span>60<span> is 2 × 2 × 3 × 5, which can be written as 2 </span>2<span> × 3 × 5.</span>
Answer:
$4956.23 approx
Step-by-step explanation:
Given data
P= $4860
R= 4%
T= 6 months = 0.5 years
Applying the compound interest formula we have
A=P(1+r)^t
Substitute
A=4860(1+0.04)^0.5
A= 4860(1.04)^0.5
A=4860*1.0198
A=4956.228
Hence the balance will be $4956.23 approx
Answer: ∠ J = 62° , ∠ K = 59° , ∠ L = 59°
<u>Step-by-step explanation:</u>
It is given that it is an Isosceles Triangle, where L J ≅ K J
It follows that ∠ K ≅ ∠ L
⇒ 5x + 24 = 4x + 31
⇒ x + 24 = 31
⇒ x = 7
Input the x-value into either equation to solve for ∠ K & ∠ L:
∠ K = 5x + 24
= 5(7) + 24
= 35 + 24
= 59
∠ K ≅ ∠ L ⇒ ∠ L = 59
Next, find the value of ∠ J:
∠ J + ∠ K + ∠ L = 180 Triangle Sum Theorem
∠ J + 59 + 59 = 180
∠ J + 118 = 180
∠ J = 62
Answer:
C
Step-by-step explanation:
Group like terms
= 2x - x +3 +5
Add the similar 'elements'
= x + 3 + 5
Add the numbers
3 + 5 = 8 + x
= x+8
<span>Identify the corresponding word problem given the equation: x + 5 = 15
</span><span>C) Billy is five years older than his sister, Jenny. If Billy is 15 years old,
Jenny is x = 15 - 5 = 10
Jenny is 10 years old
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</span><span>Identify the corresponding word problem given the inequality: x ≤ 4.50
</span><span>C) The price of diesel has been no more than $4.50 for the last month.
</span>---------------------
<span>Identify the corresponding word problem given the equation: x - 9.2 = 12.8
</span><span>B) Nick ran 12.8 miles less than Perry last week. If Nick ran 9.2 miles, how many miles did Perry run?
x = 12.8 + 9.2 = 22
Perry ran 22 miles
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</span><span>Identify the corresponding word problem given the equation: x + 12.50 = 55.75
</span><span>A) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before?
</span>x = 55.75 - 12.50 = 43.25
Before he had $43.25
