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.
There are 12 female performers in a dance recital. The ratio of men to women is 2:3. How many men are in
the dance recital?
Answer:
8 men
Step-by-step explanation:
2 is men 3 is women
8 is men 12 is women
Question in pic! help ASAP! will give brainliest!
Answer:
It is Option #1
Answer:
4 (x - 5)
4x - 20
Hope that helps!
-Sabrina
Step-by-step explanation:
What is the value of x?
(3x + 10°
(4x + 2)°
77°
34
Answer:
I don't know. I don't see any equal sign
Step-by-step explanation:
(3x + 10° = 3x + 1
(4x + 2)° = 1
77° = 1
34 = 34
h/6-1=-3 Please help me with this math problem.
Answer:
[tex]h=-15[/tex]
Step-by-step explanation:
[tex]\frac{h}{6-1}=-3[/tex]
Simplify:
[tex]\frac{1}{5} h=-3[/tex]
Multiply both sides by 5:
[tex]5\times(\frac{1}{5}h)=(5)\times(-3)\\h=-15[/tex]
h = -15 is your final answer.
Answer:
h = -15Step-by-step explanation:
[tex] \frac{h}{6 - 1} = - 3 \\ \: \: \: \: \: \: \frac{h}{5} = - 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: h = 5 \times ( - 3) \\ \: \: \: \: \: \: \: \: \: h = - 15[/tex]
Based on the diagram, which expresses all possible
lengths of segment AB?
A. AB = 25
B. 27 < AB <81
C. AB = 85
D. AB < 27 or AB > 81
Answer:
B
Step-by-step explanation:
Given 2 sides of a triangle then the third side is in the range
difference of 2 sides < AB < sum of 2 sides , that is
54 - 27 < AB < 54 + 27
27 < AB < 81 → B
graph paper questions.no links
Answer:
wait what, what grade are u even in?? I barely understand this I'm in freaking 8th grade this is high school!
Find the shaded area. Round to the nearest tenth if necessary. 22 mm 18 mm 9 mm
Answer:
please send the figure.
Find the distance between the points (-1,4) and (2,4).
Answer:
3
Step-by-step explanation:
solve for x, round to tenth
Answer:11.6
Step-by-step explanation:
If p varies jointly as m and r, and p = 180, when p = 5 and r = 8, then find m when p = 324 and
r = 6.
Answer:
m = 12Step-by-step explanation:
If p varies jointly as m and r, then;
p = kmr
k is the proportionality constant
Given that p = 180, m = 5 and r = 8
180 = k(5)(8)
180 = 40k
k = 180/40
k = 4.5
To get m when p = 324 and r = 6
324 = 4.5(m)(6)
324 = 27m
m = 324/27
m = 12
Hence the value of m is 12
please help i put 30 points
Answer:
A
Step-by-step explanation:
The root 5's cancel each other out.
4x-2x = 2x
Therefore
2x/3 is the final answer
Point C (3,6, -0,4) divides AB in the ratio 3:2. If the coordinates of point B are. If point D divides CB in the ratio 4:5, the coordinates of point D are
Answer:
B = (10, -4), D = (58/9, -2)
Step-by-step explanation:
Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ___ . If point D divides in the ratio 4 : 5, the coordinates of point D are ___ .
Solution:
If point O(x, y) divides line segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂) in the ratio n:m, then:
[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 ;\ y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]
Since point C divides AB in the ratio 3:2. Let the coordinates of B be (x₂, y₂). Hence:
[tex]3.6=\frac{3}{3+2}(x_2-(-6))-6\\\\9.6=\frac{3}{5}(x_2+6) \\\\x_2+6=16\\\\x_2=10\\\\\\-0.4=\frac{3}{3+2}(y_2-5)+5\\\\-5.4=\frac{3}{5}(y_2-5) \\\\y_2-5=-9\\\\y_2=-4[/tex]
B = (10, -4)
D divides CB in the ratio 4:5. Let D = (x, y). Hence:
[tex]x=\frac{4}{4+5}(10-3.6)+3.6 \\\\x=\frac{58}{9} \\\\\\y=\frac{4}{4+5}(-4-(-0.4))+(-0.4)\\\\y=-2[/tex]
Hence D = (58/9, -2)
Spiral Review Audra has a subscription to a news site. To pay for the subscription, $8 is automatically deducted from her checking account once
per month
Write a product of three integers that represents the change in Audra's account after 3 years
Answer:
do 8 times the number of days there is in 3 years add 365+365+365 and times that number by 8
Step-by-step explanation:
none
In 3 years Audra's account will be Deducted by $288.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
In one month the amount deducted = $8.
In 3 years there are
= 12 x 3
= 36 months.
So, In 36 month the Deduction would be
= 36 x 8
= $288.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
Plz helpp:( which statement is true?
Can someone help me please I will give brainleast just please help me out
Question 5
Flat fee = $6
Question 6
The group should charge $65 for 15 bags of leaves.
Question 7
The relationship between the amount charged and the number of bags filled is linear.
2. Given the points (-3,0) and (3,0), write a possible equation for a quadratic function in factored form.
9514 1404 393
Answer:
y = (x +3)(x -3)
Step-by-step explanation:
If p is a zero of a polynomial, then (x -p) is a factor. The given zeros are -3 and 3, so the factors are (x -(-3)) and (x -3). Then the factored form of the equation can be ...
y = (x +3)(x -3)
PLEASE ANSWER QUICKLY!
Decorative glass balls are being stored in a box. Each ball has a radius of 213 cm.
How many balls will fit in each layer of a box that is 20 cm by 15 cm?
A.) 7 balls
B.) 12 balls
C.) 48 balls
Answer:
2/3
Step-by-step explanation:
Answer:
B.) 12 balls
Step-by-step explanation:
i took the test on k-12!
Write 7x2 − 4 + 6x3 − 4x − x4 in standard form. Group of answer choices −4+63+72−4−4 4+63+72+4+4 72+63−4−4−4 72+63−4−4−4
Answer:
7x^2+4+6x^3-4x-x^4
Step-by-step explanation: can you tell me what you mean by the second
part or post a picture plz. so I can help.
I also give brainliest on this, help please is for today
Step-by-step explanation:
[tex] \frac{42}{14} = \frac{x}{12} \\ x = \frac{42 \times 12}{14} \\ x = \frac{504}{14} \\ x = 36[/tex]
#CMIIWThe volume of a 3 cm cube is
O 9 cu cm
O 12 cu cm
O 6 cu cm
O 27 cu cm
find the value of x 140° 80° 5 X°
Simplify the question
Answer:
The answer is 17x^2 + 4x - 2
if you click the image it will give you a better look at the answer just in case. Hope's this helps :)
What is the radius of a circle if the area is 314.2?
Answer: about 10.
Step-by-step explanation:
314.2= 3.14r^2
100.01= r^2
radius is about 10.
A line intersects the point (3,-4) and has a slope of 17. What is the slope-intercept equation for this line? y = 17x + [?]
I need help with my hw will give braniest to best explanation
Answer:
I can help you. What subject is it?
Step-by-step explanation:
which expression has the least value when x=100?
A.1/x
b.10/x
c.1-x
D 10-x
Answer:
C
Step-by-step explanation:
C will have the least value with -99.
A would be 1/100, which is 0.01, which is small, but larger than -99.
B would be 10/100, which is 0.1, which is larger than A.
C is 1-100, which equals -99.
D is 10-100, which equals -90. -99 is smaller than -90.
Answer:
c) 1 - x
Step-by-step explanation:
x = 100
a) [tex]\frac{1}{x}[/tex] ⇒ [tex]\frac{1}{100}[/tex]
answer ⇒ 0.01
b) [tex]\frac{10}{x}[/tex] ⇒ [tex]\frac{10}{100}[/tex]
answer ⇒ 0.10
c) 1 - x ⇒ 1 - 100
answer ⇒ -99
d) 10 - x ⇒ 10 - 100
answer ⇒ -90
A football field measures at 100 yards with 2 end zones. There are 2 end zones. Each end-zone is 10 yards long. What is the total length of the football field in feet?
Answer:
360 feet.
Step-by-step explanation:
If there are 2 end zones each measuring 10 yards long then that means that both together measure 20 yards long. We add this to the 100 yards of the field and we get a total length of 120 yards. Now we can simply turn this into feet, we know that ...
1 yard = 3 feet
120 yards = x feet
120 * 3 = x
360 feet = x
Finally, we can see that the length of the football field is 360 feet.
To keep the image in proportion what do you have to do?
Answer:
Press shift while you drag a corner handle to prevent stretching and keep your picture in proportion. Don't drag from any of the side handles; this will distort the picture even if you do press Shift!
Step-by-step explanation:
David used the computer a total of 45 hours last week. How
many more did David use the computer to play games than to do
homework?
Jada is taller than Diego. Diego is 54 inches tall (4 feet, 6 inches). Write an inequality that compares Jada's height in inches, j, to Diego's height.
Answer:
j>54
Step-by-step explanation:
I don't have a step by step explanation but i hope this helps!!!