Ask question

Ask question

All categories

Norma-Jean [14]

3 years ago

12

Lucy is financing $370,000 to purchase a house. How much money will she save over the life of a 30-year, fixed-rate loan by buyi

ng 3 points with a rate of 6.175% instead of not buying points with a rate of 6.55%?

1 answer:

IRISSAK [1]3 years ago

4 0

Lucy would save $114.
Step 1: Multiply 6.175 x 30 = 185.25
Step 2: Divide 370,000/185.25 = 1,997
Step 3: Repeat Steps 1&2 but with (6.55 x 30) and divide 370,000/196.5 = 1,883.
Step 4: Subtract 1,997 - 1,883 = 114
Step 5: She will save $114 with points versus without.

You might be interested in

Please help. I can't figure out answer.

IgorC [24]

Answer four hundred and twenty

8 0

4 years ago

Mike has 15.68 pounds of aluminum cans to take to the recycling center. He wants to take at least 50 pounds. How many more pound

anyanavicka [17]

If Mike has 15.68 pounds of aluminum, and he wants to take at least 50 pounds of said item, then he would need to collect 34.32 more pounds of aluminum. (50 - 15.68 = 34.32)

7 0

3 years ago

Read 2 more answers

Rina8888 [55]

To solve this we are going to use the formula for speed: $S= \frac{d}{t}$
where
$S$ is the speed
$d$ is the distance
$t$ is the time

Let $S_{l}$ be the speed of the boat in the lake, $S_{a}$ the speed of the boat in the river, $t_{l}$ the time of the boat in the lake, and $t_{a}$ the time of the boat in the river.

We know for our problem that <span>the current of the river is 2 km/hour, so the speed of the boat in the river will be the speed of the boat in the lake minus 2km/hour:
</span> $S_{a}=S_{l}-2$
We also know that in the lake the boat<span> sailed for 1 hour longer than it sailed in the river, so:
</span> $t_{l}=t_{a}+1$
<span>
Now, we can set up our equations.
Speed of the boat traveling in the river:
</span> $S_{a}= \frac{6}{t_{a} }$
But we know that $S_{a}=S_{l}-2$ , so:
$S_{l}-2= \frac{6}{t_{a} }$ equation (1)

Speed of the boat traveling in the lake:
$S_{l}= \frac{15}{t_{l} }$
But we know that $t_{l}=t_{a}+1$ , so:
$S_{l}= \frac{15}{t_{a}+1}$ equation (2)

Solving for $t_{a}$ in equation (1):
$S_{l}-2= \frac{6}{t_{a} }$
$t_{a}= \frac{6}{S_{l}-2}$ equation (3)

Solving for $t_{a}$ in equation (2):
$S_{l}= \frac{15}{t_{a}+1}$
$t_{a}+1= \frac{15}{S_{l}}$
$t_{a}=\frac{15}{S_{l}}-1$
$t_{a}= \frac{15-S_{l}}{S_{l}}$ equation (4)

Replacing equation (4) in equation (3):
$t_{a}= \frac{6}{S_{l}-2}$
$\frac{15-S_{l}}{S_{l}}=\frac{6}{S_{l}-2}$

Solving for $S_{l}$ :
$\frac{15-S_{l}}{S_{l}}=\frac{6}{S_{l}-2}$
$(15-S_{l})(S_{l}-2)=6S_{l}$
$15S_{l}-30-S_{l}^2+2S_{l}=6S_{l}$
$S_{l}^2-11S_{l}+30=0$
$(S_{l}-6)(S_{l}-5)=0$
$S_{l}=6$ or $S_{l}=5$

We can conclude that the speed of the boat traveling in the lake was either 6 km/hour or 5 km/hour.

3 0

3 years ago

(FOR 8th GRADERS) what is 100,000x23=? And also what is the answer to this 2,347,123,903,286,126x145?(the question is for high s

iren [92.7K]

For the first one it equals 2,300,000

7 0

3 years ago

Using the laws of logic to prove tautologies.Use the laws of propositional logic to prove that each statement is a tautology.a.

Anika [276]

Answer: The proofs are given below.

Step-by-step explanation: We are given to prove that the following statements are tautologies using truth table :

(a) ¬r ∨ (¬r → p) b. ¬(p → q) → ¬q

We know that a statement is a TAUTOLOGY is its value is always TRUE.

(a) The truth table is as follows :

r p ¬r ¬r→p ¬r ∨ (¬r → p)

T T F T T

T F F T T

F T T T T

F F T F T

So, the statement (a) is a tautology.

(b) The truth table is as follows :

p q ¬q p→q ¬(p→q) ¬(p→q)→q

T T F T F T

T F T F T T

F T F T F T

F F T T F T

So, the statement (B) is a tautology.

Hence proved.

6 0

3 years ago