To use the distributive property, we "distribute" a value on the outside of a set of parentheses to all of the values on the inside of the parentheses. For example...
6(3 + 9) = 6*3 + 6*9
For your problem, you only have one value 13.99, but we can split it apart to make it a little easier to work with (like with mental math). We can say that 13.99 is the same as 10 + 3.99. Now we can take it and multiply by 9 with the distributive property...
9(10 + 3.99) =
9*10 + 9*3.99 =
90 + 35.91 =
$125.91
2(4-16) - (-30)
= 2(-12) -(-30)
= 24 - (-30) ....Error right here....a negative multiplies a positive = negative (= -24 + 30)
= 24 + 30
= 54
Correct:
2(4-16) - (-30)
= 2(-12) -(-30)
= -24 - (-30)
= -24 + 30
= 6
Factors of 6 = 1, 2, 3, 6
factors of 9 = 1, 3, 9
gcf = 3
Answer:
It will double in the year 2063
Step-by-step explanation:
Let the amount deposited be $x, when it doubles, the amount becomes $2x
we can use the compound interest formula to know when this will happen
The compound interest formula is as follows;
A = P(1+r/n)^nt
In this question,
A is the amount which is 2 times the principal and this is $2x
P is called the principal and it is the amount deposited which is $x
r is the interest rate which is 3.2% = 3.2/100 = 0.032
n is the number of times compounding takes place per year which is quarterly which equals to 4
t is the number of years which we want to calculate.
Substituting all these into the equation, we have;
2x = x(1+0.032/4)^4t
divide through by x
2 = (1+ 0.008)^4t
2 = (1.008)^4t
we use logarithm here
Take log of both sides
log 2 = log (1.008)^2t
log 2 = 2t log 1.008
2t = log 2/log 1.008
2t = 86.98
t = 86.98/2
t =43.49 which is 43 years approximately
Thus the year the money will double will be 2020 + 43 years = 2063
Answer:
Roxy has 7 necklaces.
Step-by-step explanation:
35 = n + 4n
<u>35</u> = <u>5n</u>
5 = 5
n = 7
