Answer:
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x ------> the amount of money that should be invested at the rate of 5.25%
25,000-x -----> the amount money that should be invested at the rate of 4%
in this problem we have
substitute in the formula above
Solve for x
therefore
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
To answer this, let the 3 sides of the regular sized rectangular box be x, y, and z.
When we double all the sides, the new sides have lengths 2x, 2y, and 2z, respectively.
Since the regular box (with dimensions x,y, and z) have 750 toothpicks, we can write
Similarly we can write for the jumbo box as,
which is equal to 
So this is 8 times the original of 
. Hence the jumbo box will have 8 times 750 number of toothpicks.
ANSWER: 
toothpicks
The bases were not the same when the exponents were set equal to each other.
16 should have been written as 4 squared.
The exponent on the right should be 4a instead of 8a.
The correct solution is a=-3/4.
Fraction of shampoo left = 
Solution:
Given fraction of full shampoo 
.
Fraction of shampoo Margaret used 
Fraction of shampoo left = Full shampoo – fraction of shampoo used
To make the denominators same do cross multiplication.
Hence of the shampoo bottle is left.
Answer:
the not simplified answer is 6/28 The GCF is 2 the siplified answer is 3/14
Step-by-step explanation:
