Hannah just bought a new camera. In January she took 14 pictures. The number of pictures she took doubled each month for three m
1 answer:
<span>1) In January she took 14 pictures.
Call Ao the number of pictures she took in January => Ao = 14
2) The number of pictures she took doubled each month for three months.
=>
month number of pictures taken
Januray Ao = 14
February A1 = Ao * 2 = 14*2
March A2 = A1 * 2 = Ao * 2 * 2 = 14 * 2^2.
how many pictures did hannah take in march? Write and solve an expression with an exponent to show how many pictures she took.
Expression: </span><span>![An=Ao[2^{(x-1)}]](https://tex.z-dn.net/?f=An%3DAo%5B2%5E%7B%28x-1%29%7D%5D)
where Ao is 14 and x = the number of months.
So, you can replace Ao with 14, with which the expression is
Solution: replace 3 for x, for march:
</span><span>B. In April, Hanna took 1/2 the number of pictures she took in March. Her brother Jack thinks she took the same number of pictures in April that she did in February. Hannah knew he was incorrect. Write and solve an expression to show why Hannah is right.
1) half the number of pictures she took is March is 14*[2^2] / 2
2) the number of pictures taken is february is14* [2^1]
Given that 14*[2^2] = 14*[2^1], Hannah is not right, her brotehr is.
</span>
Call Ao the number of pictures she took in January => Ao = 14
2) The number of pictures she took doubled each month for three months.
=>
month number of pictures taken
Januray Ao = 14
February A1 = Ao * 2 = 14*2
March A2 = A1 * 2 = Ao * 2 * 2 = 14 * 2^2.
how many pictures did hannah take in march? Write and solve an expression with an exponent to show how many pictures she took.
Expression: </span><span>
where Ao is 14 and x = the number of months.
So, you can replace Ao with 14, with which the expression is
Solution: replace 3 for x, for march:
</span><span>B. In April, Hanna took 1/2 the number of pictures she took in March. Her brother Jack thinks she took the same number of pictures in April that she did in February. Hannah knew he was incorrect. Write and solve an expression to show why Hannah is right.
1) half the number of pictures she took is March is 14*[2^2] / 2
2) the number of pictures taken is february is14* [2^1]
Given that 14*[2^2] = 14*[2^1], Hannah is not right, her brotehr is.
</span>
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Rounding to nearest thousand gives 76,000 mg of chlorine
Answer:
A = $44,778.84
A = P + I where
P (principal) = $10,300.00
I (interest) = $34,478.84 or 12 months
Step-by-step explanation:
Given: Yvonne bought a car for $10,300. After 3 years, the value of the car was $6,250. 50%
To find: In approximately what number of additional months will the value of Yvonne’s car be 50% of the price she originally paid?
Formula: ×
Solution: Divide your interest rate by the number of payments you’ll make in the year (interest rates are expressed annually). So, for example, if you’re making monthly payments, divide by 12. Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.
(This gives you the amount of interest you pay the first month.)
First, convert R as a percent to r as a decimal
r = R/100
r = 50/100
r = 0.5 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 10,300.00(1 + 0.5/12)(12)(3)
A = 10,300.00(1 + 0.041666667)(36)
A = $44,778.84
Henceforth:
The total amount accrued, principal plus interest, with compound interest on a principal of $10,300.00 at a rate of 50% per year compounded 12 times per year over 3 years is $44,778.84.