Answer:
The sum of the roots is -3
The product of the roots is 4
Step-by-step explanation:
Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April 1 and made no other deposits or withdrawals. Find your savings account balance on January 1 of the next year.
and
Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April 1 and made no other deposits or withdrawals. How much interest did you earn for these nine months?
Answer:
The interest earned in 9 months is $25.45284
Step-by-step explanation:
The interest rate given by the bank = 4%
The rate at which the interest is applied = Quarterly
The amount of money deposited = $840
The formula for compound interest is given as follows;
[tex]Compound \ interest = P \times \left [ \left(1 + \dfrac{r}{n} \right )^{t \times n} - 1\right ][/tex]
Where;
P = The principal = $840
r = The rate = 4% = 0.04
n = The number of times the interest is compounded per period = quarterly = 4
t = The time duration in period = 9 months = 3/4 × 1 year
Substituting the values gives the Compound interest C.I. as follows;
[tex]C.I. = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{\dfrac{3}{4} \times 3} - 1\right ] = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{ 3} - 1\right ] = \$ 25.45284[/tex]
The interest earned in 9 months = $25.45284.
Use the the image below to determine the angle type, relationship, value of x, and the missing angle measures.
Type =
Relationship =
Value of x =
Missing angle measures =
Answer:
Name: alternate exterior angles
Relationship: they are congruent. (15x + 5)° = (14x + 11)
Value of x: 6
Missing angle measures: 95°
What is the correct answer?
Answer:
C) y = 10/3x - 5
Step-by-step explanation:
Slope intercept equation is y = mx + b:
m is the slope
b is y-intercept
When you read slope you can also read it as rise over run. Rise is move up or down on the y axis depending if number is negative or positive. Run is move left or right on x axis depending if number is negative or positive.
Example: y = [tex]\frac{10}{3} x - 5[/tex]
Start at the y-intercept which is -5. On graph you can see the line crosses the y axis at (0, -5). From this point rise 10 then run 3 you'll end up at point (3, 5). Connect the dots of the two points and you'll see a line like the one in the problem.
Oliver is using plywood to build the skateboard ramp shown. Three sides of the ramp are rectangles. How many square feet of plywood does Oliver need to build the ramp?
I will mark brainliest
Answer:
18
Step-by-step explanation:
According to the graph, what is the constant of proportionality?
A. The waiter earns $25 an hour.
B. The waiter earns $20 an hour.
C. The waiter earns $15 an hour.
D. The waiter earns $10 an hour.
A. The waiter earns $25 an hour
what percent is 30 of 20
Answer:
1.5
Step-by-step explanation:
Lmk if i need to explain!
what is the answer to 3√54m^4pq
Answer: I did quick math and I got 9m^2pq√6
Hope this helps a bit
4. Which r - value suggests a strong
positive correlation?
r= 0.1847
r= -0.1847
r= 0.9974
r= -0.9974
Answer:
It would be r= 0.9974.
The closer the r value is to 1 or -1 the stronger it is.
Positive and negative are just determining what "side" its on.
Let me know if this helps!
what is the slope of the line ?
Answer:
y = -3x + 4
Step-by-step explanation:
y = 4, this is where your line intersects with the y axis.
x = 1 is where your line is on the x axis (you want to include the part of the line that hits a point straight on, not one that goes past it.) So when it lands on the corner of the grids like the 4 for the y axis does, that is the point you are going to use.
Rise/Run is then your equation, so since you go down 3 and over 1 (counting from your y axis point), your slope is -3/1 or -3.
Then goes your y axis, so the final equation is
y= -3x + 4
I hope this helped!
need rn! worth 13 ~ what is the equation of the parabola? 謝謝
Answer:
Its B.
Step-by-step explanation:
Emath.com- Parabola calculator
The equation d=65t models the distance, d, that Malcolm's family travels after t hours. 10 miles per hour 15 miles per hour 30 miles per hour 65 miles per hour
The question is incomplete. Here is the complete question.
Malcolm and Theo's families are both traveling to the same vacation resort. The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
How much faster did Malcolm's family travel than Theo's family?
a) 10 miles per hour
b) 15 miles per hour
c) 30 miles per hour
d) 65 miles per hour
Answer: b) 15 miles per hour
Step-by-step explanation: Speed is given by the change in distance per change in time or:
[tex]v=\frac{\Delta x}{\Delta t}[/tex]
For Theo's family, the graph shows the change in miles is constant in hours, so, the speed they are traveling is
[tex]v_{T}=\frac{200-0}{4-0}[/tex]
[tex]v_{T}=\frac{200}{4}[/tex]
[tex]v_{T}=[/tex] 50 mph
For Malcolm's family:
At t = 0: d = 65*0 = 0
At t = 4: d = 65*4
Then, Speed is:
[tex]v_{M}=\frac{65*4-0}{4-0}[/tex]
[tex]v_{M}=\frac{65.4}{4}[/tex]
[tex]v_{M}=[/tex] 65 mph
Theo travels at 50 mph and Malcolm at 65 mph, therefore, Malcolm is 15 miles per hour faster than Theo
Find an equation for the perpendicular bisector of the line segment whose endpoints are (−3,4) and (−7,−6).
Answer:
[tex]y=-\frac{2}{5}x-3[/tex]
Step-by-step explanation:
First, you must find the midpoint of the segment, the formula for which is [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]. This gives you (-5,-1) as the midpoint. This is the point at which the segment will be bisected.
Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], which gives us a slope of [tex]\frac{5}{2}[/tex].
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of [tex]\frac{5}{2}[/tex] is [tex]-\frac{2}{5}[/tex].
We now know that the perpendicular travels through the point (-5,-1) and has a slope of [tex]-\frac{2}{5}[/tex].
Solve for [tex]b[/tex] in [tex]y=mx+b[/tex].
[tex]y=mx+b\\-1=-\frac{2}{5}(-5)+b\\-1=2+b\\-3=b\\b=-3[/tex]
Therefore, the equation of the perpendicular bisector is [tex]y=-\frac{2}{5}x-3[/tex].
Answer:
She's right, praise jeebus :3
Step-by-step explanation:
(please i'm taking a test) A fraction is never a rational number true or false
Follow the order of operations.
(4-1 + 8 ÷ 8) muliplied by 5
Answer:
20
Step-by-step explanation:
(4-1 + 8 ÷ 8 )= 4
4 x 5 = 20
Select all of the statements that are true for the given parabola
Answer: Please provide statements.
Step-by-step explanation:
Answer:
The maximum is (-1, 6).
The line of symmetry is x = -1.
Step-by-step explanation:
those two
Olivia bought a coat for a trip to Alaska and used a coupon for 20% off the coat price. The total cost of her coat, with the discount, was $260.80 . Which equation could she use to find the price of the coat without the discount?
Answer:
shhshshshs
hshdhsnsnjsjdje
Step-by-step explanation:
bshsjsnsjjsusjsjsjs
Tyrell is bringing food to a community picnic. He expects 105 people to attend the picnic. He brings 4 cups of potato salad for every 7 people and 5 hot dogs for every 3 people. Select True or False for each statement. True False Tyrell brings 35 hot dogs. O True False Tyrell brings 60 cups of potato salad. The ratio of hot dogs to cups of potato salad that Tyrell brings to the picnic can be written 5:4. the ratio of cups of potato salad too hot dogs at Tyrell brings to the picnic can be written as 12:35
Answer:
1. false
2.true
3.false
4. true
Step-by-step explanation:
An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. What are two constants of proportionality for the relationship between distance in kilometers
Answer:
50Step-by-step explanation:
Given
Distance covered by the bird = 400km
Time taken = 8 hours
Using the formula;
Speed = Distance/Time
S = d/t
Find the speed first:
S = 400km/8hr
S = 50km/hr
Substitute back into the formula:
S = d/t
50 = d/t
50t = d
d = 50t
This means that the distance d is directly proportional to the time with 50 as the constant of proportionality.
Hence the constant of proportionality for the relationship between distance in kilometers is 50.
John writes the proof below to show that the sum of the angles in a triangle is equal to 180º.
Answer:
When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.
Step-by-step explanation:
i did it
In triangle DEF, segment DJ is a perpendicular bisector of side EF. If EJ is 3y-8 and JF is 7y-40, what is the length of JF?
Answer: The length of JF = 16 units.
Step-by-step explanation:
Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.
i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]
If EJ is 3y-8 and JF is 7y-40.
Then, [tex]3y-8=7y-40[/tex]
[tex]\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}[/tex]
JF= 7(8)-40 =56-40= 16 units
Hence, the length of JF = 16 units.
Answer:
plz giv brainlist
Step-by-step explanation:
does the ordered pair (8,48) satisfy the direct equation y=6x? explain why or why not
Answer:
i think yes the order pair of (8,48) satisfy the direct equation y=6x
Step-by-step explanation:
negative four times the sum of a number and 3 is at least 28, translate.
Answer: [tex]-4 * (n+3) \geq 28[/tex]
Step-by-step explanation:
Negative four -> [tex]-4[/tex]
Times the sum of a number and 3 -> [tex]-4 * (n + 3)[/tex]
Is at least 28 -> [tex]-4 * (n+3) \geq 28[/tex]
HELP ME LLEASE WUIZ OMG WHAT ARE THE CORDS? 30 points
Answer: -1/2 and 1/3
Step-by-step explanation:
Mark wants to buy 5 new video games from
GameStop. Each video game is $17.99 and he has an
8% off coupon. How much will he have to pay at the
register?
Select the correct answer.
What can be inferred from the passage?
A.
Miranda will ask Mr. Giuffreda for an extension.
B.
Miranda will no longer be Mrs. Brody's assistant.
C.
Miranda usually does a lot better in English class.
D.
Miranda did not finish her book report on time.
Answer:
I think it would be B.
Step-by-step explanation:
This is just a guess but I'm taking the test right now.
Answer:
D). Miranda did not finish her book report on time.
Step-by-step explanation:
i took the test and it was right, i promise.
What is the answer for both?
Answer:
What is the question from both?
Answer:
(4,2) for the first one
(2,-1) for the second one
to get the answers I got, equate Both
What is mZCAD?
O 80°
O 20°
O 80°
O 100°
O 110°
Answer:
The angle of CAD is 100°.
Step-by-step explanation:
Given that total angles in a triangle is 180° so you will have to find the angle of CAB :
∠CAB + ∠ACB + ∠ABC = 180°
∠CAB + 80° + 20° = 180°
∠CAB + 100° = 180°
∠CAB = 180° - 100°
∠CAB = 80°
Next, you have to subtract it from 180° because straight line have a degree of 180°
∠CAD = 180° - 80°
∠CAD = 100°
Is (2, 4) a solution to the system
y = 2x
x + y = 6
Answer:
yes you plug the numbers in
sanita is buying 5 posters that are all the same price. the store has a sale that takes $3 off the regular price of each poster. she pays a total of $63. she wants to know the regular price of one poster
Answer: $15.6
Step-by-step explanation:
Sanita pays $63 for 5 posters that are $3 off each, if you divide 63 by 5 you will get $12.6, so you have to add $3 to $12.6 to get 15.6 which was the original price of one poster.
The regular price of one poster $15.6
Sanita pays $63 for 5 posters that are $3 off each.
What is the meaning of regular price?Regular price means the price at which similar goods or services are regularly sold on the market.
If she divide 63 by 5 she will get $12.6
Therefore we have to add $3 to $12.6 to get 15.6
It was the original price of one poster.
To learn more about the pirce visit:
https://brainly.com/question/1153322
Which one??? I need help. Be serious please
Answer:
c
Step-by-step explanation:
10+12=22
=22^2
=484
Answer:
I believe the answer is C or D.
Step-by-step explanation: