Let's solve your system by substitution.
−3x+y=−2;y=4x
Rewrite equations:
y=4x;−3x+y=−2
Step: Solvey=4xfor y:
y=4x
Step: Substitute4xforyin−3x+y=−2:
−3x+y=−2
−3x+4x=−2
x=−2(Simplify both sides of the equation)
Step: Substitute−2forxiny=4x:
y=4x
y=(4)(−2)
y=−8(Simplify both sides of the equation)
Answer:
x=−2 and y=−8
Answer:
$0.276
Step-by-step explanation:
Given data
Bill= $9.20
Tax= 3%
Tip= 19%
Let us find the amount of the tax and the tip
Tax
=3/100*9.20
=0.03*9.2
=$0.276
Amount after sales tax
= 0.276+9.20
=$9.476
Tip
=19/100*9.476
=0.19*9.476
=$1.80044
Therefore the sales tax
=$0.276
This image should help with that.
<span>We are not told how often the interest is compounded, so assuming it is <em /><u><em>compounded yearly</em></u>, you need to keep $9.99 in the account to pay the fee.
<u><em>Explanation: </em></u>
Compound interest follows the formula A=p(1+r)^t,
where:
A is the total amount in the account,
p is the amount of principal,
r is the interest rate as a decimal number,
and t is the number of years.
<u>For our problem: </u>
A = 9.99,
p is unknown,
r = 0.018% = 0.00018,
and t=1.
<u>This gives us: </u>
9.99=p(1+0.00018)^1;
9.99=p(1.00018).
<u>Divide both sides by 1.00018: </u>
9.99=p.</span>
Answer:
option 3.75°
Step-by-step explanation:
we know that
If two triangles are similar, then the corresponding angles are congruent
so
In this problem
The corresponding angles are
m∠A and m∠D, m∠B and m∠E, m∠C and m∠F
so
m∠A=m∠D
m∠B=m∠E
m∠C=m∠F
therefore
m∠F=75°
