Answer:
$ 500 was the principal of the loan at 4%, and $ 2,500 was the principal of the loan at 3.5%.
Step-by-step explanation:
Given that Eric borrowed a total of $ 3000 from two student loans, and one loan charged 4% simple interest and the other charged 3.5% simple interest, both payable after graduation, if the interest he owed after 2 years was $ 215, to determine the amount of principal for each loan, the following calculation must be performed:
4 x 2 = 8
3.5 x 2 = 7
1500 x 0.08 + 1500 x 0.07 = 225
1400 x 0.08 + 1600 x 0.07 = 224
100 x 0.08 + 2900 x 0.07 = 211
500 x 0.08 + 2500 x 0.07 = 215
Therefore, $ 500 was the principal of the loan at 4%, and $ 2,500 was the principal of the loan at 3.5%.
is this an example of direct variation? f(x)=2xy
Answer:
Yes, it is:
Step-by-step explanation:
Given
[tex]f(x) =2xy[/tex]
Required
Determine if it is a direct variation
A direct variation is represented as:
[tex]f(x)\ \alpha\ x[/tex]
Express as equation
[tex]f(x) = kx[/tex]
Compare [tex]f(x) = kx[/tex] to [tex]f(x) =2xy[/tex]
[tex]k = 2y[/tex]
Hence, it is a direct variation
Write the ones digit of the squares of the following numbers. (a) 21287
7
___________________
Which number is GREATEST?
0.27
0.046
0.297
0 0.3
Answer:
0.3
Step-by-step explanation:
Go left to right for each digit, which one is greater. They all have a decimal so for right now we can’t eliminate any. Next digit we two 2s a 0 and a 3. Whch number is greater? The three! So the greatest number is 0.3.
Find the value of x to the nearest tenth.
Answer:
[tex]base = \sqrt{ {4}^{2} + {3}^{2} } \\ = \sqrt{25} = 5 \\ x = \sqrt{ {6}^{2} - {5}^{2} } \\ x = \sqrt{11} \\ x = 3.3[/tex]
If the triangles are similar which are true
Answer:
b
Step-by-step explanation:
whats the formula for volume
Answer:
Volume for cube: L x W x H
L= Length, W= width, H=height
A national survey of 1516 respondents reached on land lines and cell phones found that the percentage of adults who favor legalized abortion has dropped from 55% a year ago to 45%. The study claimed that the error
atributable to sampling is 4 percentage points. Would you claim that a majority of people are not in favor of legalized abortion?
Answer:
The upper bound of the interval is below 0.5, which means that it can be claimed that a majority of people are not in favor of legalized abortion
Step-by-step explanation:
Confidence interval:
Sample proportion plus/minus margin of error.
In this question:
Sample proportion of 0.45, margin of error of 0.04. So
0.45 - 0.04 = 0.41
0.45 + 0.04 = 0.49
The confidence interval is of (0.41,0.49). The upper bound of the interval is below 0.5, which means that it can be claimed that a majority of people are not in favor of legalized abortion
need help asap! The graphs below have the same shape. what is the equation of the red graph?
no links
Answer:
B. [tex]g(x) = x^{3} - 5[/tex]
Step-by-step explanation:
The graph of f(x) is the graph of g(x) translated 5 units downwards.
if the given ordered pair equal then find value of x and y
(3x+5)=(x+2)
and (4y+7)= (y+3)
Answer:
3x+5 =x+2
3x-x=2-5
2x= –3
x=-3/2
4y+7=y+3
4y–y =3-7
3y=–4
y= —4/3
The table shows how the time it takes a train to travel between two cities depends on its average speed. The table shows how the time it takes a train to travel between two cities depends on its average speed Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour? What does the number 160 represent in the rational function that models the situation? distance, in miles, between the cities amount of fuel, in gallons, used by the train time, in minutes, needed to travel between the cities
Answer:
Step-by-step explanation:
Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour?
✔ y = 160/x
What does the number 160 represent in the rational function that models the situation?
✔distance, in miles, between the cities
amount of fuel, in gallons, used by the train
time, in minutes, needed to travel between the cities
Answer: NOTE Pictures Are not in order! Make sure you check page number.
Step-by-step explanation:
On page 6 the answers are ”C” and ”5lbs”
On page 7 the answers are “C”, “$ 418”, “ The cat”, and then “ $960”.
On page 8 the answers are : < Just copy paste this below.>
“Based on the calculation, they should purchase the second television as the cost is cheaper.
Based on the information given in the question, the cost of the first television will be:
= $330 + ($14 × 8)
= $330 + $102
= $442
The cost of the second television will be:
= $369 + ($9 × 8)
= $369 + $72
= $441
Therefore, the second television is cheaper.”
^
<Just copy paste this. > [Then check. “A,B,C,”.]
On page 9 the answer is “ D “.
UB needs to need to create a team of 4 players for the competition out of 10 volunteers. How many
different teams are possible?
Answer:
604,800
Step-by-step explanation:
10*9*8*7*6*5*4
Noah assigns a number to each of the 150 athletes at his school and puts the numbers in a box. He randomly chooses 30 numbers and finds that 18 of the
athletes watched television last night. Use this sample to make an inference about how many athletes watched television last night.
Answer:
90
Step-by-step explanation:
18 out of 30 watched tv
150/30 = 5
18/30 = (18 * 5)/(30 * 5) = 90/150
Answer: 90
(-3, 5) is located in ____
a. Quadrant |||
b. Quadrant |
c. Quadrant |V
d. Quadrant ||
Answer:
D
Step-by-step explanation:
This is considered quadrant II
can someone PLEASE help me solve this equation ? due soon
[tex]\sf{Given : 3tanx + 7 = \dfrac{2}{(1 - sinx)(1 + sinx)}}[/tex]
We know that : (a - b)(a + b) = a² - b²
[tex]\implies \sf{3tanx + 7 = \dfrac{2}{1 - sin^2x}}[/tex]
We know that : 1 - sin²x = cos²x
[tex]\implies \sf{3tanx + 7 = \dfrac{2}{cos^2x}}[/tex]
[tex]\sf{\bigstar \ \ We \ know \ that : \boxed{\sf{\dfrac{1}{cos^2x} = sec^2x}}}[/tex]
[tex]\implies \sf{3tanx + 7 = 2sec^2x}[/tex]
We know that : sec²x = 1 + tan²x
[tex]\implies \sf{3tanx + 7 =2(1 + tan^2x)}[/tex]
[tex]\implies \sf{2 + 2tan^2x - 3 tanx - 7 = 0}[/tex]
[tex]\implies \sf{2tan^2x - 3 tanx - 5 = 0}[/tex]
[tex]\implies \sf{2tan^2x - 5tanx + 2tanx - 5 = 0}[/tex]
[tex]\implies \sf{2tanx(tanx + 1) - 5(tanx + 1) = 0}[/tex]
[tex]\implies \sf{(tanx + 1)(2tanx - 5) = 0}[/tex]
[tex]\implies \sf{tanx = -1 \ (or) \ tanx = \dfrac{5}{2} }[/tex]
What’s the ratio of 20 to 6
Answer:
333..%
Step-by-step explanation:
A spinner is divided into 4 equal sections numbered 1 through 4. It is spun twice, and the numbers from each spin are added.
What is the probability that the sum is less than 6?
Answer:
4equal to plus 5 eul is to be 9
resuelve la siguiente ecuación
x2+40=100
pregunta:x2+40=100
resultado:x=30
Step-by-step explanation:
the anwer is x=30......
Trig how do you do I do not know
9514 1404 393
Answer:
a) 2π radians
b) 10π inches
c) 5/4π inches per minute
Step-by-step explanation:
The formulas are fairly straightforward. Use the given values in each.
a) θ = ωt
θ = (π/4 radians/min)(8 min) = 2π radians
__
b) s = rθ
s = (5 in)(2π radians) = 10π in
__
c) v = s/t
v = (10π in)/(8 min) = 5/4π in/min
a water main is to be constructed with a 10% grade in the north direction and a 20% grade in the east direction. determine the angle theta required in the water main for the turn from north to east
Answer:
26.6degrees
Step-by-step explanation:
Given
percent grade through north = 10% (opposite)
percent grade through east = 20% (adjacent)
Get the direction
Using the SOH CAH TOA identity
tan theta = opp/adj
tan theta = 10/20
tan theta = 0.5
theta = arctan (0.5)
theta = 26.6degrees
Hence the required angle is 26.6degrees
Find the angle of depression
from point A to point C.
?
66°
5 mi
B
Angle of depression = [ ? ]
Given:
In triangle ABC, [tex]m\angle A=66^\circ, AB=5\text{ mi}[/tex].
To find:
The angle of depression from point A to point C.
Solution:
According to angle sum property, the sum of all interior angles of a triangle is 180 degrees.
In triangle ABC,
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
[tex]66^\circ+90^\circ+m\angle C=180^\circ[/tex]
[tex]156^\circ+m\angle C=180^\circ[/tex]
[tex]m\angle C=180^\circ-156^\circ[/tex]
[tex]m\angle C=24^\circ[/tex]
We know that if a transversal line intersect the two parallel lines, then alternate interior angles are equal. So, the angle of depression from point A to point C is equal to the measure of angle C in triangle ABC.
Therefore, the angle of depression is 24 degrees.
What is 25% of 24?
What is 15% of 60?
9 is what percent of 72
Answer:
6
9
6.48
Step-by-step explanation:
this is the easiest way to solve for percentage:
[tex]\frac{part}{whole} =\frac{part}{whole}[/tex] Where all the percents (except 100) would go in part
and the whole number would go in whole
[tex]\frac{25}{100} =\frac{?}{24}[/tex] Then multiply 24 × 25 ÷ 100 = 6
[tex]\frac{15}{100} =\frac{?}{60}[/tex] Multiply 60 by 25 then divided by 100 = 9
Then for the last one 9 is what percent of 72
all we have to do is multiply 9 and then convert 72 into a decimal (0.72)
Then 9 × 0.72 = 6.48
Answer:
6.48
Step-by-step explanation:
you have to had the left then divide the right
PLSSSSSS HELP ASAP !!!
Answer:
m4+m5=180
answer is second option
Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.
Answer:
The answer e i think
Step-by-step explanation:
Calculate the value of 3x³ -2x²- 9x+2 if x= -2
Answer: -12
Step-by-step explanation:
3(-2)^3 - 2(-2)^2 - 9(-2) + 2 = N
3(-8) - 2(4) - 9(-2) + 2 = N
-24 - 8 + 18 + 2 = N
-12 = N
WILL MARK BRAINLIEST PLEASE HELP
a survey of boys and girls in second grade was conducted asking whether or not they like pizza. The partially completed two-way table shows results of the survey. How many boys were included in the survey?
Step-by-step explanation:
answer is in the above photo
there are 29 boys total
a train moving at the rate of 50 km per hour in struck by a stone moving with a velocity of 40 km above are making an angle of 60 degree with the direction of the train find the velocity with which the stone appears to an observed in the train to strike
the train
Answer:
Step-by-step explanation:
the pidgeon is flying east
What type of solutions does the quadratic equation, 8v2 + 8 = -11v, have?
Answer:
Complex roots
Step-by-step explanation:
Given
[tex]8v^2 + 8 = -11v[/tex]
Required
The type of solution
Rewrite as:
[tex]8v^2 +11v+ 8 = 0[/tex]
To determine the type of solution, we simply calculate the discriminant (D)
[tex]D = b^2 - 4ac[/tex]
Where
[tex]a = 8;\ \ \ b =11\ \ \ c = 8[/tex]
So, we have:
[tex]D = 11^2 - 4 * 8 * 8[/tex]
[tex]D = 121 - 256[/tex]
[tex]D = -135[/tex]
The above value implies that:
[tex]D<0[/tex]
When [tex]D<0[/tex], the solution of the equation is: complex roots
PLS HELP!
Two vertical angles measure (5x + 15)° and (3x + 27)°. Draw a diagram that illustrates the vertical angles. Solve for each angle.
Answers:
x = 6
Each angle is 45 degrees
The diagram is shown below
=========================================================
Explanation:
Vertical angles are always congruent
Set the two expressions equal to each other and solve for x.
5x+15 = 3x+27
5x-3x = 27-15
2x = 12
x = 12/2
x = 6
As a way to check the answer, replace x with 6 in each expression. We should get the same thing on both sides
5x+15 = 3x+27
5*6+15 = 3*6+27
30+15 = 18+27
45 = 45
Each angle is 45 degrees, so the answer is confirmed.
---------
The diagram is shown below. There are infinitely many ways to draw out the diagram. In the version I drew, the angles aren't vertically aligned but instead they are opposite one another in this X configuration. So the vertical angles could be vertically aligned, but they don't have to be.
In short: draw an X shape and mark any two opposite angles to form the vertical angles.
On a Ford assembly line, each worker
A.) moved from station to station.
B.) was responsible for several different tasks.
C.) performed the same task over and over.
D.) built at least one car each day.
Answer:
d
Step-by-step explanation:
Draw and label the solution to each
