Given:
Rate of simple interest = 5%
Time = 4 years
Total interest = $160
To find:
The amount borrowed by Austin from a credit union.
Solution:
The formula for simple interest is:
[tex]I=\dfrac{P\times r\times t}{100}[/tex]
Where, P is principal, r is the rate of interest and t is the number of years.
Putting [tex]I=160,r=5,t=4[/tex] in the above formula, we get
[tex]160=\dfrac{P\times 5\times 4}{100}[/tex]
[tex]160=\dfrac{20P}{100}[/tex]
[tex]160=\dfrac{P}{5}[/tex]
Multiply both sides by 5.
[tex]800=P[/tex]
Therefore, Austin borrowed $800 from a credit union for 4 years.
Line segment AB has endpoints A(0, 3) and B(2, 2). What is the midpoint of
line segment AB?
Every time Vince orders Chinese food, he gets egg drop soup. So, he decides to learn how to make it himself. His recipe calls for 1.5 liters of broth, but he can only find 500-milliliter cartons at the store. How many cartons should he buy?
Answer: 3
Step-by-step explanation:
Vince will have to buy three cartons of 500 ml each.
What is expression in mathematics?An expression in mathematics is a combination of terms both constants and variables.
Given is that every time Vince orders Chinese food, he gets egg drop soup. So, he decides to learn how to make it himself. His recipe calls for 1.5 liters of broth, but he can only find 500 milliliter cartons at the store.
We know that -
1 Liter = 1000 milliliters
1.5 liter = 1500 liters
Now -
1 carton 500 ml.
Then, 1 ml will be in (1/500) carton.
So, 1500 ml will be in (1/500 x 1500) = 3 cartons
Therefore, Vince will have to buy three cartons of 500 ml each.
To solve more questions on algebraic expressions, visit the link below -
https://brainly.com/question/27911936
#SPJ2
Multiply (3x-5)(x+4)
Answer:
3x^2+7x-20
Step-by-step explanation:
Answer:
expand the brackets
3x^2 + 7x -20
Step-by-step explanation:
(3x-5)(x+4)
= 3x^2 + 12x - 5x + 20
= 3x^2 + 7x + 20
In ΔTUV, the measure of ∠V=90°, the measure of ∠U=85°, and VT = 20 feet. Find the length of TU to the nearest tenth of a foot.
Answer: 20.1
Step-by-step explanation: I if you are here from delta math this is the answer
Answer: 20.1
Step-by-step explanation:
sinU=
hypotenuse
opposite
=
x
20
\sin 85=\frac{20}{x}
sin85=
x
20
x\sin 85=20
xsin85=20
Cross multiply.
\frac{x\sin 85}{\sin 85}=\frac{20}{\sin 85}
sin85
xsin85
=
sin85
20
Divide each side by sin 85.
x=\frac{20}{\sin 85}=20.0764\approx 20.1\text{ feet}
x=
sin85
20
=20.0764≈20.1 feet
Type into calculator and roundto the nearest tenth of a foot.
T
U
V
20
20.1
(opposite of ∠U)
(adj. to ∠U)
(hypotenuse)
85°
HELP plz I GIVE BRAINLIEST PLUS A LOT OF POINTS Draw a number line and mark all described points on it... ...Numbers that are either negative or greater than 5.
Answer:
Please find the attached file of the given graph:
Step-by-step explanation:
Samantha earns $8 p;er hour as a cashier. Write an equation that shows her earnings (E) after 'h' hours
Answer:
E=8h
Step-by-step explanation:
Becuase the earings equal the $8 times the amount of hours she worked.
At a really nice
restaurant, Seiji
wanted to leave a
20% tip for the
outstanding waiter.
The bill was $75.64.
SHOW WORK!!!
Answer:
tip = $15.128
Step-by-step explanation:
tip = 75.64 × 20/100
tip = 1512.8/100
tip = $15.128
Find the area using sine rules.
Answer:
22.44 mi²Step-by-step explanation:
Step 1
Find the missing angle:
m∠H = 180° - (47° + 99°) = 34°Step 2
Find the missing sides by using the law of sines:
sin 34° / 5.9 = sin 47° / HP = sin 99° / HKHP = 5.9 sin 47°/sin 34° = 7.7 miHK = 5.9 sin 99° / sin 34° = 10.4 miStep 3
Use Heron's formula for the area:
A = [tex]\sqrt{s(s - a)(s - b)(s - c)}[/tex], where s is semi-perimeter, and a, b, c - sidesFind s:
s = 1/2(5.9 + 7.7 + 10.4) = 12Find A:
A = [tex]\sqrt{12(12 - 5.9)(12 - 7.7)( 12 - 10.4)}[/tex] = 22.44 mi²The average test score for 8 students is 5 the scores for 7 of the 8 students are shown what is the score of the 8th student
Answer:
70
Step-by-step explanation
Find the diagram attached
Average = Sum of scores/sample size
Given the 7 numbers
20, 20, 20, 30, 80, 80, 80
Average = 50
5 = 20+20+20+30+80+80+80+x/8
x is the score of the 8th student
50 = 330+x/8
400 = 330+x
x = 400-330
x = 70
Hence the score of the 8th student is 70
This year a small business had a total of $35,100.If this is 35% more than their total revenue the previous year, what was their total revenue the previous year
Answer:
22,815
Step-by-step explanation:
35% of 35,100 is 12285, then you subtract that from 35,100 to get 22,815. Hope this helps.
find f(4) if f(x) = x - 6
Hi, I am very stuck on questions 17 and 18. Can someone help please? Thanks
9514 1404 393
Answer:
17) x = 10√2
18) x = 4√6
Step-by-step explanation:
These problems rely on your knowledge of the side ratios of special triangles
45°-45°-90° triangle: 1 : 1 : √2
30°-60°-90° triangle: 1 : √3 : 2
__
17) 5 is the short side of the isosceles right triangle, so its hypotenuse is 5√2. That length is the shortest side of the 30/60/90 triangle, so its longest side is 2 times that:
x = 10√2
__
18) 8 is the longest side of the 30/60/90 triangle, so its long leg will be 8(√3)/2 = 4√3. The hypotenuse of the isosceles right triangle is √2 times that, so ...
x = (4√3)(√2)
x = 4√6
Help me with this!!!!
Well the half point of 427 and 428 is 427.5 so 427.5.
I’ll mark brainliest
Complete the statment with the best choice
All trapezoids are also
_________________.
a. squares b. parallelogram c. rectangles d. quadrilaterals
Answer:
d
Step-by-step explanation:
Helppppp i need help ASAP
Answer:
a) 10.10 a.m. , (b) 10.20 a.m. which is 10 minutes after sprints start , (c) The students work at 10.50 a.m. , (d) For 60 minutes from 10 a.m. to 11 a.m. which equals to 1 hour
Pls tell me which square unit :(
Answer:
8
Step-by-step explanation:
If I am doing this correctly you count all the dots the triangles lines are on. Which is 8 to find the area. Hope it helped have a wonderful day!
(12 + 31). Find the midpoint m of 21 (8 + 5i) and 22 Express your answer in rectangular form.
Please help with these (algebra)
I’ll give points but please help me on this and if you don’t know the answer please don’t answer the question thank you
Pls help me and thank you!
some pls help I have a couple min left plzz
Harpo, Groucho, Chico, Zeppo, Gummo, Karl, and Skid have won three tickets to the opera. They will randomly choose three people from their group to attend the opera. How many outcomes are possible?
Answer:
35
Step-by-step explanation:
This is a combination problem therefore we need to use the combination formula using factorials, plug in the values for n and r which would be 7 since there are 7 individuals in the group and 3 because we are making outcomes of 3.
C(n,r)=C(7,3)
=7!(3!(7−3)!)
=7!3!×4!
= 35
Finally, we can see that the total number of possible outcomes is 35
Use the equation y=2x-5
To find y when x=3z
Answer:
If y = 2x - 5, and x = 3z, then y = 6z - 5
Which of the following coordinate pairs make the equation x - 9y = 12 true?
(12, 0)
(0, 12)
(3, -1)
(0, -4/3)
Answer:
first one............
Please help.
Is algebra.
Answer:
Step-by-step explanation:
a solution is where both of the lines meet. or they have the same point on each line. so you can set the equation of each line equal to the other.
for this "solution" just look at the graph and see where the two lines meet.. and find the x coordinate of that point.
I see it meeting at x =2 get it?
Zair has 48 marbles in his pocket. He has 3 more blues than the
yellow ones, and 4 times as many yellows as the red ones. How
many of each colored marble is there?
Answer:
# yellow = 20
# blue = 23
# red = 5
Step-by-step explanation:
let 'r' = # red marbles
let '4r' = # yellow marbles
let '3+4r' = # blue marbles
r + 4r + 3 + 4r = 48
9r + 3 = 48
9r = 45
r = 5
red = 5
yellow = 4(5) = 20
blue = 3+4(5) = 23
A runner is training for a marathon by adding on 4 minutes to the total training time each day. If the runner trains for 24 minutes the first day, which formula represents the total number of minutes the runner will train after n days?
Answer:
a
Step-by-step explanation:
Add 4 minutes to the 24 minutes each day. Multiply the number of minutes by the time.
what is 5 5/7 x 3 1/5?
which equation is written in standard form ?
a. y-3 = -5(x+2)
b. y= 1/2x + 2
c. 3x + 2 = y
d. -7x + 2y = 9
B is standard form. y=1/2x + 2
Answer:
d.-7x+2y=9 that is the answer
This is a sketch of the curve with equation y = f(x).
The vertex of the curve is at (2, -3)
V
X
(2, -3)
Write down the coordinates of the vertex of the curve with equation
a) f(x + 7)
b) f(-x)
I’m
Answer:
We have to use the formule to calculate the vertex which is: V(-b/2a;4ac-b^2/4a)
A) y=x+7 where a=1 b=0 and c=7
By replacing we have: V(0;28/4) V(0;7)
B) y=-x where a=-1 b and c=0 so V(0,0)