Let x represent amount invested in the higher-yielding account.
We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be 
.
We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.
, where,
I = Amount of interest,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
We are told that interest rates are 6% and 10%.
Amount of interest earned from lower-yielding account: 
.
Amount of interest earned from higher-yielding account: 
.
Let us solve for x.
Therefore, the man invested $30,000 at 10%.
Amount invested in the lower-yielding account would be 
.
Therefore, the man invested $60,000 at 6%.
Answer:
exponent of x is 33
exponent of y is 0
Step-by-step explanation:
you need to combine all powers (exponents) of x, and all exponents of y separately.
remember : x to the power of a divided by x to the power of b is x to the power of (a-b).
when multiplying, the "-" turns into a "+".
so, we have actually for x the exponent calculation :
8 - 14 -(-39) = 8 - 14 + 39 = 33
so, x³³ remains.
and for the y exponents
-26 -(-5) -(-21) = -26 + 5 + 21 = 0
so, all the y expressions eliminate each other and y⁰ remains.
Answer:
0.9586
Step-by-step explanation:
From the information given:
7 children out of every 1000 children suffer from DIPG
A screening test designed contains 98% sensitivity & 84% specificity.
Now, from above:
The probability that the children have DIPG is:
= (0.98 × 0.007) + 0.16( 1 - 0.007)
= 0.16574
So, the probability of not having DIPG now is:
= 0.9586
Answer:
4/3
Step-by-step explanation:
you use slope formula
Multipy 3 by 6 multiply 1 by 4 and 7 by 4 then add the numbers
