Answer:
The bench costs 450
Step-by-step explanation:
Let t = cost of the table
b = cost of bench
t+b = 846
t = b-54
t+b =846
Substituting t = b-54 into the above equation
b-54 +b =846
Combine like terms
2b -54 = 846
Add 54 to each side
2b-54+54 = 846 +54
2b =900
Divide by 2
2b/2 = 900/2
b =450
The bench costs 450
2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Step-by-step explanation:
The given is,
Initial investment - $5000
Future amount - $6000
Interest rate - 7.5% (compounded quarterly)
Step:1
Formula to calculate the Future amount with compound interest,
...................................(1)
Where, F - Future amount
P - Initial amount
r - Rate of interest
n - No. of compounding in a year
t - Time period
From given,
F = $6000
P = $5000
r = 7.5%
n = 4 (compounded quarterly)
Equation (1) becomes,



Take log on both sides,

Substitute log values,
0.07918 = 4(t) (0.0080676)
= (t) (0.0322705)
= 2.45
t ≅ 2.5 years
Result:
2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Angle C is 4 square root 11 or in decimals 13.266
Answer:
<u>A. 83</u> is the correct option.
Step-by-step explanation:
all angles of a triangle are always equal to 180.
46 + 51 + y = 180
97 + y = 180
180 - 97 = <u>83</u>
Have a nice day! :-)
Find the greatest common factor (gcf) in each grade between the girls and boys
in 6th grade the gcf is 8
64/8=8 72/8=9
the largest number of groups that can be made equally would be 8 groups of 8 girls and 8 boys
Hope this helps!!