Answer:
75°
Step-by-step explanation:
firstly, use the pythagoras theorem
Square root(8²-2²) = 7.75
Then, use sine
sine A= 7.75/8
Sine A=0.9688
A= (sine power of -1) x (0.9688)
A=75.63
First option:
y=money saved
x=number of months
y=30x+500
Second option:
y=50x+200
We have this system of equations:
y=30x+500
y=50x+200
We can solve this system of equations by equalization method
30x+500=50x+200
30x-50x=200-500
-20x=-300
x=-300/-20
x=15
so;
y=30x+500
y=30(15)+500
y=450+500
y=950
Answer; after 15 months, she would save the same amount using either option, the amount saved in either option will be $950.
Answer:
9/40
Step-by-step explanation:
3/5 * 3/8
Multiply the numerators
3*3 = 9
Multiply the denominators
5*8 = 40
9/40
The fraction does not simplify
The problem is an arithmetic sequence with:
a₁ = 206,300
an = 208,400
n = 2013 - 2000
n = 13
To find the annual increase, use this following formula
an = a₁ + d(n - 1)
d represents the annual increase
Input the numbers
an = a₁ + d(n - 1)
289,400 = 206,300 + d(13 - 1)
289,400 = 206,300 + 12d
289,400 - 206,300 = 13d
83,100 = 12d
12d = 83,100
d = 83,100/12
d = 6,925
The annual increase is $6925
