<span>Multiply the second equation by −4 to get −16x − 4y = −80 and </span>Multiply the first equation by 2 to get 4x + 8y = 28 both creates <span>an equivalent system such that, when combined with the other equation, one of the variables is eliminated</span>
Answer:
82 years and 3 quarters
Step-by-step explanation:
A = P (1 + r / n)ⁿˣ
P = Principal amount
r = Annual interest rate
n = Number of compounds per year
x = time in years
A = Amount after time 'x'
10500 = 2100 (1 + 0.0195 / 4)⁴ˣ
Divide the whole equation by 2100
10500 / 2100 = ({2100 (1 + 0.004875)} / 2100 )⁴ˣ
5 = (1.004875)⁴ˣ
Taking Natural logarithm (㏑) on both sides
㏑ 5 = ㏑ (1.004875)⁴ˣ
㏑ 5 = 4x ㏑ (1.004875)
1.6094 = 4x (0.004863)
1.6094 = 0.01945x
x = 82.75
So, If compounded quarterly at an APR of 1.95% the amount deposited in savings account of $2100 will accumulate to $10500 in 82 years and 3 quarters.
<h3>Given:</h3>
PQRS is a rectangle.
PS = 5cm
PQ = 12cm
<h3>To Find:</h3>
The length of qr ,sr and the two diagonals pr and qs.
<h3>Solution:</h3>
Opposite sides of a rectangle are equal.
QR = PS = 5cm
SR = PQ = 12cm
By using Pythagoras Theorem, we get
PR = √PS^2 + SR^2
or, PR = √25 + 144
or, PR = √169
or, PR = 13cm
Diagonals of a rectangle are equal.
QS = PR = 13cm
<h2>Answer:</h2>
QR = 5 cm
SR = 12 cm
PR = 13 cm
QS = 13 cm
Answer:
6k +19
Step-by-step explanation:
7k-k+19
Combine like terms
7k-k = 6k
The expression becomes 6k +19
Answer:
1.8 feet per year
Step-by-step explanation:
started at 9 so it grew 9 get in five years which is about 1.8 feet over year
