Initially, Charlotte owes $7680. She finishes her payments after a total of 6 + 36 = 42 months. Using a simple compounding formula, the amount she owes is worth P at the end of 42 months, where P is:
P = 7680 * (1 + .2045/12)^42 = 15616.67379
Now, the first installment she pays (at the end of six months) is paid 35 months in advance of the end, so it is worth x * (1 + .2375/12)^35 at the end of her loan period.
Similarly, the second installment is worth x * (1 + .2375/12)^34 at the end of the loan period.
Continuing, this way, the last installment is worth exactly x at the end of the loan period.
So, the total amount she paid equals:
x [(1 + .2375/12)^35 + (1 + .2375/12)^34 + ... + (1 + .2375/12)^0]
To calculate this, assume that 1+.2045/12 = a. Then the amount Charlotte pays is:
x (a^35 + a^34 + ... + a^0) = x (a^36 - 1)/(a - 1)
Clearly, this value must equal P, so we have:
x (a^36 - 1)/(a - 1) = P = 15616.67379
Substituting, a = 1 + .2045/12 and solving, we get
x = 317.82
D=rt and we are told d=546 and r=1.3m/s so
1.3t=546 divide both sides by 1.3
t=420 seconds so
420s(min/60s)=7 min
So it takes him 7 minutes to walk to Sara's house.
Answer:
50989.68
Step-by-step explanation:
add 100 to 1.75% then multiply by 12 then multiply by 42
hope that helps :)
Answer:
9. C. division
10. D. addition
Step-by-step explanation:
When solving for X the goal is to get it all by itself on one side of the equation and to do that you have to undo the operations already in effect on it. In number 9 the x is multiplied by 3 so to undo that you would need to divide by 3 and that would cancel out leaving the x by itself. Then you would need to divide by 3 on the other side of the equation also to keep it balenced. In number 10 the X is connected to the 10 through subtraction so to cancel that out you would subtract 10 from both sides to get the X alone.
I hope this helps and please don't hesitate to ask if there is anything still unclear!
