Answer:
100 years old
Step-by-step explanation:hope it helps:)
Answer:
$8,500 in CDs; $11,500 in bonds
Step-by-step explanation:
Let c = amount invested in CDs.
Let b = amount invested in bonds.
"A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs)."
From the total investment, we get this equation.
c + b = 20000
"If the amount invested in bonds is to exceed that in CDs by $3000"
From the details of the amounts, we get this equation.
b = c + 3000
We have a system of equations in two unknowns.
c + b = 20000 Eq. 1
b = c + 3000 Eq. 2
Since Eq. 2 is already solved for b, we will use the substitution method to solve the system of equations.
Substitute b in Eq. 1 with c + 3000.
c + c + 3000 = 20000
2c + 3000 = 20000
2c = 17000
c = 8500
Now substitute c = 8500 in Eq. 2 and solve for b.
b = c + 3000
b = 8500 + 3000
b = 11500
Answer: $8,500 in CDs; $11,500 in bonds
Answer:
15%
Step-by-step explanation:
Answer:
A. 55°
Step-by-step explanation:
Complementary angles are angles that add up to give us 90°.
Since <A and <B are complementary angles, it implies that:
m<A + m<B = 90°
If m<A = 35°, therefore:
35° + m<B = 90°
Subtract 35° from each side
m<B = 90° - 35°
m<B = 55°
*Given
Money of Phoebe - 3 times as much as Andy
Money of Andy - 2 times as much as Polly
Total money of Phoebe, - <span>£270
</span> Andy and Polly
*Solution
Let
B - Phoebe's money
A - Andy's money
L - Polly's money
1. The money of the Phoebe, Andy, and Polly, when added together would total <span>£270. Thus,
</span>
B + A + L = <span>£270 (EQUATION 1)
2. Phoebe has three times as much money as Andy and this is expressed as
B = 3A
3. Andy has twice as much money as Polly and this is expressed as
A = 2L</span> (EQUATION 2)
<span>
4. This means that Phoebe has ____ as much money as Polly,
B = 3A
B = 3 x (2L)
B = 6L </span>(EQUATION 3)<span>
This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.
5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,
6L + 2L + L = </span><span>£270
</span> 9L = <span>£270
</span> L = <span>£30
So, Polly has </span><span>£30.
6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.
</span>
A = 2L
A = 2(£30)
A = £60
Andy has £60
B = 6L
B = 6(£30)
B = £180
Phoebe has £180
Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.
