Answer: The numbers are 10.8 and 46.2.
Step-by-step explanation: The sum of two numbers is 57.
x + y = 57
Assume x is the larger number.
x - 3 = 4y
x = 4y + 3
Use subsitution.
4y + 3 + y = 57
y = -4y - 3 + 57
y = -4y + 54
5y = 54
y = 10.8
Plug in y.
x + 10.8 = 57
x = 46.2
Check.
46.2 - 3 = 4(10.8)
43.2 = 43.2
Answer:
$2647.13
$2648.08
Step-by-step explanation:
To solve for the value of each loan we will use the formula:

Let's break down the variables that we have.
P = $2,600
r = 7.25% or 0.0725
r2 = 7.50% or 0.0750
t = 90 days
Now since we're computing for two different types of interest, let's take it one at a time.
First the State Saving and Loan.
In this situation we are solving for ordinary interest, where we compute with the total number of days are 360






The maturity value of State Savings and Loan is $2,647.13.
Now let's move on to the Security bank.
The security bank charges 7.5% exact interest. For exact interest we use 365 days.





The maturity value of the Security bank is $2,648.08.
Answer:
3.14
Step-by-step explanation:
Answer:
1: AAS, RQC 2: ASA, SRP
Step-by-step explanation:
(1) We are shown that two angles and one side are congruent in the order of AAS. Make sure you write the letters in terms of the corresponding angles. The angles and sides are congruent because the problem labels it for us. For example, B,A,C=R,Q,S. Answers: AAS, RQC.
(2) We are shown that two angles and one side are congruent in the order of ASA. Make sure you write the letters in terms of the corresponding angles again. For example, P,Q,R=P,S,R. The angles are congruent because the problem labels it for us. Side PR is congruent to side PR by reflexive property. Answers: ASA, SRP.
I hope this helped :) Good luck
Answer:
In 5:
UM and MS are equal since the diagonals US and VT have perpendicularly bisected each other.
So,15=6x-3
15+3=6x
18=6x
3=x
In 6:
ET=TC
8=x-4
8+4=x
12=x