Answer: Pair 1 and Pair 4
Step-by-step explanation:
Answer:
x = 10.5
Step-by-step explanation:
we know that ZP = PX (its the midpoint of the rectangle)
11 = PX
ZP + PX = ZX
11+11 = ZX
22 = ZK
2x + 1 = 22
2x = 22 -1
2x = 21
x = 21/2
x = 10.5
Answer:
7/3
Step-by-step explanation:
as it is a reciprocal you must flip the fraction so you can get your answer i hope this helped C:
Based on the information, Christian would have $5525.5 of an annuity.
<h3>How to calculate the annuity?</h3>
According to the given information, the number of coffees per week is 3 then, per month is 3x4 = 12
Each coffee is $4.5. Then monthly expenditure for coffees is 12 x 4.5 = $54
Rate of interest r = 1.6% = 1.6/100 = 0.016 and for monthly compounding r = 0.016/12 = 0.00133
n = number of payments = 8 x 12 = 96
We can use the formula for finding the future value as below
FV = C x [ ( 1 + r )n-1 ] / ( r )
FV = 54 x [ ( 1 + 0.00133 )96 – 1 ] / (0.00133)
= 54 x [ (1.13609 - 1)] / (0.00133)
= 54 x 0.13609 / (0.00133)
= 54 x 102.3233
= 5525.5
Therefore Christian would have $5525.5 of the annuity.
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Ralph is 3 years old
Casey is 18 years old
Step-by-step explanation:
Let the age of Ralph be x
Then Casey is 6 times as old as Ralph will be 6x
In two years
Ralph =x+2
Casey=6x+2 ⇒ 4(x+2)
Equate the two equations for Casey as
6x+2 = 4x+8
6x-4x=8-2
2x=6
x=6/2= 3
Current age;
Ralph= x= 3 years old
Casey=6x = 6*3= 18 years
Learn More
Forming expressions and solving equations;brainly.com/question/1280754
Keywords :six, times, years
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