Answer:
u = 2.5
Step-by-step explanation:
Since you're working with only one variable, you just need to solve for u:
9(u -2) + 1.5u = 8.25
Multiply the parentheses by 9
9u - 18 +1.5u = 8.25
Add the similar values
10.5u = 8.25 + 18
Simplify
10.5u = 26.25
u = 26.25/10.5
u = 2.5
Hi there
We know that the formula of the present value of annuity ordinary is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value
PMT monthly payment
R interest rate
K compounded monthly 12 because the payment is monthly
N time
What we need from the formula above to find the monthly payment
So to find the monthly payment the formula
PMT=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]
Another important things we need is how to find total payments and interest charge
To find total payments
Monthly payment×12
And to find interest charge
Total payments-present value
Now let's find interest charge for each credit card
Credit card A
The monthly payment is
PMT=563÷((1−(1+0.16÷12)^(
−12))÷(0.16÷12))=51.08
Total payments
51.08×12=612.96
interest charge
612.96−563=49.96
Credit card b
PMT=2,525÷((1−(1+0.21÷12)^(
−12))÷(0.21÷12))=235.11
Total payments
235.11×12=2,821.32
interest charge
2,821.32−2,525=296.32
Credit card c
PMT=972÷((1−(1+0.19÷12)^(
−12))÷(0.19÷12))=89.58
Total payments
89.58×12=1,074.96
interest charge
1,074.96−972=102.96
So total interest charge for all credit cards is
102.96+296.32+49.96
=449.24....final answer
It's c
Good luck!
Answer: 4
Step-by-step explanation:
For given Population standard deviation , the formula to sample size is given by :-
, where z* = Two-tailed critical value.
E = Margin of error.
Given : years
We know that , Critical value for 90% confidence interval : z* = 1.645
Margin of error : E=1.3 years
Then, the minimum sample size required to construct a 90% confidence interval for the population mean will be :-
[Rounded to the nearest whole number.]
Hence, the minimum sample size required = 4
Jill has three crayons and Jeff has eight crayons. 3 + 5 = 8
<span><span>40. </span>115m
= An athlete trains per day
690m = total minutes of athlete’s training
d = number of days
=> 115(d) = 690
Now, the equation would be, 115 minutes per day to be multiplied by d or the
number of days to get 690minutes in all.
=> 690 / 115 = 6
=> 115 (6) = 690
d = 6
Therefore, an athlete trains 115 minutes in 6 days to get the total of 690
minutes in all.
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