Answer:
C. 16 months faster
Step-by-step explanation:
You can solve this using a Financial calculator( TI BA II plus in this case)
First, find number of months if recurring monthly payment is $38.50;
Amount borrowed ; PV = -950
Monthly rate ; I/Y = 7.2%/12 = 0.6%
Monthly payment; PMT = 38.50
Future value ; FV = 0
Total duration; press CPT, N = 26.785 OR 27 months
Next, find number of months if recurring monthly payment is $93;
Amount borrowed ; PV = -950
Monthly rate ; I/Y = 7.2%/12 = 0.6%
Monthly payment; PMT = 93
Future value ; FV = 0
Total duration; press CPT, N = 10.573 OR 11 months
Difference = 27 -11 = 16
Therefore, she would be able to pay off the loan 16 months faster.
Answer:
32√5
Step-by-step explanation:
We have the right triangles PQA and PQB as well as the given right triangle QAB.
cot(PAQ) = 2/5 = QA/PQ
cot(PBQ) = 3/5 = QB/PQ
cot(PAQ) / cot(PBQ) = (2/5) / (3/5) = 2/3
cot(PAQ) / cot(PBQ) = (QA/PQ) / (QB/PQ) = QA / QB
QA / QB = 2/3
QA = (2/3) QB
QB = (3/2) QA
By the Pythagorean Theorem we have:
(QA)² + 32² = (QB)²
(QA)² + 32² = (3/2 QA)²
(QA)² + 1024 = (9/4) (QA)²
(5/4) (QA)² = 1024
(QA)² = (4/5)1024 = 4096/5
QA = 64/√5
Solve for PQ.
cot(PAQ) = QA/PQ
PQ = QA / cot(PAQ)
PQ = (64/√5) / (2/5) = 32√5
The height of the tower is 32√5.
Answer:
I would say angle 6 is supplementary to angle 3.
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees.
Angles 6 and 3 are right angles.
90 + 90 = 180
Hope I helped!
Answer:
Okay so im seeing you need help okay I will tell you how to do number 21 as an example
Step-by-step explanation:
Look for a commen donominater of the 3/8 and 1/3 the denominater would be 24 so 8 times 3 and 3 times 3 so those would be 9/24 and 3/24 , do the 8 plus the ten and you get 18 so 18+ 9/24+3/24= 18 12/24, or 18 1/2
Step-by-step explanation:
write a formula that models this.
9.30x = money earned
If he works 2 hours, he'll get $9.30 times (2)
and so on. so you write and solve
9.30(1), 9.30(5), 9.30(8)
for the second part you want to substitute 180 for the amount earned which will become
9.30x = 180 then you solve for x
