Given:
Amount in the bank account = $1850
Monthly payment of can loan = $400.73
To find:
When would automatic payments make the value of the account zero?
Solution:
Craig stops making deposits to that account. So, amount $1850 in the bank account is used to make monthly payment of can loan.
On dividing the amount by monthly payment, we get
[tex]\dfrac{1850}{400.73}=4.61657[/tex]
It means, the amount is sufficient for 4 payment but for the 5th payment the amount is not sufficient.
Therefore, the 5th automatic payments make the value of the account zero.
Write the ratio 2/7 to 4 as a fraction in simplest form
Answer:
1/14
Step-by-step explanation:
2/7 to 4 means 2/7 to 4/1
2/7 * 1/4
= 2/28
You can simplify by dividing the numerator and denominator
which will give you 1/14
Hope this help :)
Find the slope of the line that passes through the points (8,3) and (2,9)
Find the slope (-3, 7) and (0, - 2)
Can show steps too please I’ll mark u brainliest
Answer:
The answer is -3
Step-by-step explanation:
Slope means the rate of change of a line which is the letter m. Whenever you need to find slope remember this: m= y2-y1 over x2-x1.
(x1,y1)= (-3,7), ( x2, y2) = (0,-2) so the slope is -3.
Austin and Dylan rode their bicycles. Austin's average speed is represented by the equation d = 20t, where d is the total distance traveled in t hours. The graph below represents Dylan's average speed while riding his bicycle.
Who had the fastest average speed and by how much?
Answer:
Austin has the better average speed by 5 mph
Step-by-step explanation:
The slope of Dylan’s graph will his average speed
Let’s select two points on the graph to use
The slope can be calculated as;
m = (y2-y1)/(x2-x1)
m = (90-30)/(6-2)
m = 60/4
m = 15
So the equation for Dylan would be
d = 15t
This shows that Austin has a faster average speed by 5 mph
Are these ratios equivalent?
18 pedestrians : 9 days
14 pedestrians : 7 days
Answer:
yes
Step-by-step explanation:
they both equal to 2 pedestirans: 1 day
Answer: Yes.
Step-by-step explanation: By simplifying both ratios you get 2 pedestrians : 1 day.
WHATS THE SURFACE AREA? Need help ASAP!! This is urgent! Tysm will mark brainliest
WILL GIVE BRAINLIEST While playing a board game, Sam had to move back 6 spaces 9 times. What integer represents Sam's movement on the board for those 9 turns?
It is either 6•9 to find the spaces or 54 spaces.
When most American’s throw away their laundry detergent bottle it has about 1/2 of an ounce of detergent left in it. Dexter’s equation, y= -1.6x+50, and Mya’s equation, y = 50(.75)x. represent how much detergent is left in their bottles after x washes. Who will throw away their laundry detergent bottle first?
Answer:
Mya’s equation
Step-by-step explanation:
Given that:
Detergent left in bottle after a certain number of washes x
Dexter’s equation,
y= -1.6x+50
Mya’s equation,
y = 50(.75)x
y = Detergent left in bottle.
Given that amount of Detergent left is about 1/2 ounces = y
For Dexter’s equation,
y= -1.6x+50
0.5 = 1.6x + 50
0.5 - 50 = 1.6x
-45.5 = 1.6x
x = 28.4375
For Mya’s equation :
y = 50(0.75)x
0.5 = 37.5x
0.5 / 37.5 = x
0.0133333 = x
Hence, Mya’s equation
when dividing 751.6 by 100, how should the decimal point be moved?
Answer:
Two places to the left = 7.516
Step-by-step explanation:
Answer:
The decimal point should be moved two times to the rightStep-by-step explanation:
751.6 ÷ 100 = 7.516
and that means that
the decimal point moves
two times to the right.
Hope this helps! <3
The table below shows the proportional relationship between the weight of dog food, in ounces, and the number of bags of dog food:
Number of Bags
of Dog Food Number of Ounces
of Dog Food
3
36
4
48
5
60
What is the constant of proportionality?
12
36
39
72
Answer: 12
3×12=36
4×12=48
5×12=60
I hope this is good enough:
Error Analysis Jessie incorrectly said the rate 1/4 pound 1/8 gallon can be written as the unit rate 1/32 pound per gallon what is the correct unit rate? What was Jessie's likely error?
Answer:
Step-by-step explanation:
Given that 1/4 pounds = 1/8 gallons
We are to find the unit rate per gallon, hence we will say;
x pounds = 1 gallon
Equate both expression
1/4 pounds = 1/8 gallons
x pounds = 1 gallons
Cross multiply
1/8 * x = 1/4
divide both sides by 1/8
(1/8x)/(1/8) = (1/4)/(1/8)
x = 1/4 * 8/1
x = 1/4 * 8
x = 2 pounds
Hence the unit rate per gallon is 2 pounds per gallon
Her error was that he multiplied both values together to arrive at 1/32 instead of dividing as shown in the
A runner’s resultant velocity is 8 miles per hour due west running with a wind of 3 miles per hour N 28° W. What is the runner’s speed, to the nearest mile per hour, without the effect of the wind.
Answer:
7.07 miles/hour W 22° S.
Step-by-step explanation:
Given that the resultant velocity of the runner, [tex]v_r = 8[/tex] miles/hour due west.
Wind speed, [tex]v_w= 3[/tex] miles/hour N 28° W.
Assuming that the absolute velocity of the runner, [tex]v_a= x[/tex] miles/ hour W \alpha S as shown in the figure.
By using vector addition, [tex]\vec{v_r} = \vec {v_w} + \vec {v_a}[/tex] .
Now, from the figure,
[tex]|\vec {v_r}|=|\vec {v_w} |\sin{28°} + |\vec {v_a}| \cos \alpha \\\\\Rightarrow 8 = 3\sin{28°} + |\vec {v_a}| \cos \alpha \\\\\Rightarrow |\vec {v_a}| \cos \alpha =8-3\sin{28°} \cdots(i)[/tex]
And [tex]AC= |\vec {v_w} |\cos{28°} = |\vec {v_a}| \sin \alpha \\\\[/tex]
[tex]\Rightarrow |\vec {v_a}| \sin \alpha= 3\cos{28°} \cdots(ii)[/tex]
Dividing equation (ii) by equation (i), we have
[tex]\frac {|\vec {v_a}| \sin \alpha}{|\vec {v_a}| \cos \alpha}=\frac {3\cos{28°}}{8-3\sin{28°}} \\\\\Rightarrow \tan \alpha = 0.402 \\\\\Rightarrow \alpha = \tan ^{-1} (0.402)=22^{\circ} \\\\[/tex]
Putting the value of \alpha in equation (ii), we have
[tex]|\vec {v_a}| \sin {22^{\circ}}= 3\cos{28^{\circ}} \\\\\Rightarrow |\vec {v_a}| =(3\cos{28^{\circ}})/\sin {22^{\circ}} \\\\[/tex]
[tex]\Rightarrow |\vec {v_a}| = 7.07[/tex] miles/hour
Hence, the runner speed, without the effect of the wind, is 7.07 miles/hour W 22° S.
Mr. Garcia has 15 boys and 10 girls in his math class. He selects two students at random to demonstrate how they
solved the day's challenge assignment. What is the probability that both students are girls?
3/20
I just finished it
yes so y did u need r help?????
The equation y = 6.85x could represent a variety of different situations .
Write a description of a situation that could be represented by this equation .
Answer:
For every x feet of rope purchased, the total cost(y) increases by $6.85.
Step-by-step explanation:
Find x and y
у
60°
16
Answer:
thats hard dude why are you doing it
Step-by-step explanation:
Answer:
y=8
Step-by-step explanation:
How do I solve this??? 15 points!
Answer:
[tex]\displaystyle y=\frac{7}{2}x-3[/tex]
Step-by-step explanation:
We wan to determine the equation of a line that passes through the point (2, 4) and is parallel to:
[tex]\displaystyle y=\frac{7}{2}x-5[/tex]
Since our new line is parallel to our equation, this means that the two lines have the same slope.
Therefore, the slope of our new line is also 7/2, the slope of the original.
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, we will substitute 7/2 for m.
Let's let our point (2, 4) be (x₁, y₁). Hence:
[tex]\displaystyle y-4=\frac{7}{2}(x-2)[/tex]
Solve for y. Distribute:
[tex]\displaystyle y-4=\frac{7}{2}x-7[/tex]
Add 4 to both sides.Therefore, our equation is:
[tex]\displaystyle y=\frac{7}{2}x-3[/tex]
Neveah goes out to dinner at a restaurant. The bill for dinner is $57.25, and Neveah gives the server a 20% tip. What is the total cost for dinner?
Need answer please :(
Answer:
11.45 + 57.25
Step-by-step explanation:
$68.70 is the correct answer because the question asks WHAT IS THE TOTAL COST FOR THE DINNER
The total cost he paid is $68.7
What is percentage?Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part;
Given:
Bill for dinner is $57.25
20% tip was given
So, 20% on 57.25 is
=0.20 * 57.25
=11.45
Hence, total he paid = 57.25 +11.45 = 68.7
Learn more about percentage here:
https://brainly.com/question/13244100
#SPJ2
each problem.
In a survey, out of 12,200 college freshman.
7.540 lived on a campus. At another college
if there were only 3.500 freshman, how
many would live on campus?
Answer:
11.040
Step-by-step explanation:
To get this answer you would add 7.740 please 3.500 and get 11.040
Plsss help me if you know????
Answer:
n/6 = 1/2
2n = 6
n = 3
Hope my answer is correct
Answer:
n = 3
Step-by-step explanation:
There's two ways, first cross multiplication:
n/6 = 1/2
Cross multiplication so 2 times n and 6 times 1
2n = 6
n = 3
Second way:
n/6 = 1/2
(n/6 = 1/2) times 6
n = 6/2
n = 3
Can someone help me with this Algebra question?
Answer:
y^6
Step-by-step explanation:
Answer:
the answer would be y^6
BRAINLIEST!
Which of the following math statements contain variable(s)? Check all that apply.
A. 13 - x = 9
B. 1 + 6 = 7
C. 15 - 5 = ___
D. ? + 7 = 12
Answer:
15
Step-by-step explanation:
Une gratification est partagée en quatre employés - le premier reçois 150euro - le seconde reçois 7/20 de la gratification -le troisieme reçois 5/28 de la gratification - le quatrième reçois le 9/35 de la gratification a) Quel est le montant de la gratification ? b) Quel est la part reçu par le premier ? c) Quel est le montant reçu par chaque employés
Explication étape par étape:
Soit la gratitude totale x
Montant reçu par le premier employé = 150 euros
Si le second reçoit 7/20 de la gratification, alors;
Deuxième reçoit = 7/20 × x
Si le troisième reçoit 5/28 de la gratification, alors
Le troisième reçoit 5/28 × x -
Si le quatrième reçoit le 9/35 de la gratification, alors;
Le quatrième reçoit 9/35 × x
Il faut ensuite calculer le pourboire total x.
Résumer tout le montant reçu
7x / 20 + 5x / 28 + 9x / 35 +150 = x
0,35x + 0,179x + 0,257x + 150 = x
0,786x + 150
x-0,786x = 150
0,214x = 150
x = 150 / 0,214
x = 700,9 euros
2) Pour obtenir le partage collecté par le premier, nous utiliserons l'expression
X × 700,9 = 150
x = 150 / 700,9
x ≈ 15/70
x≈ 3/14
D'où le premier a recueilli environ 3/14 de la gratification totale.
2) seconde collectée 0,35x
= 0,35 × 700
≈245 euros
Le troisième a recueilli 5/28 de x
Le troisième a collecté 5/28 × 700
= 3500/28
= 125 euros
Le quatrième a recueilli 9/35 de x
= 9/35 × 700
= 6300/35
≈ 180 euros
Review the properties of exponents. In complete sentences, explain the process necessary to simplify the exponential expression. Complete your work in the space provided. Include your explanation, the mathematical steps, and the final, simplified expression.
Answer:
[tex]=\frac{2a^4}{3bd}[/tex]
Step-by-step explanation:
Given expression is,
[tex]\frac{2ab^{-1}}{3a^{-3}d}[/tex]
Further simplify the expression by converting the negative exponents into positive.
[tex]b_1=\frac{1}{b}[/tex]
[tex]a^{-3}=\frac{1}{a^3}[/tex]
By substituting these terms in the given expression,
[tex]\frac{2ab^{-1}}{3a^{-3}d}=\frac{2a(\frac{1}{b})}{3(\frac{1}{a})^3d}[/tex]
[tex]=\frac{\frac{2a}{b}}{\frac{3d}{a^3} }[/tex]
[tex]=\frac{2a}{b}\times \frac{a^3}{3d}[/tex]
[tex]=\frac{2a^4}{3bd}[/tex]
Mae Ling earns a weekly salary of $365 plus a 7.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,900 worth of merchandise?
Answer:
$732.5
Step-by-step explanation:
Mae Ling earns a weekly salary of $365 which means salary per week is $365
Then plus a 7.5% commission on sales at a gift shop if she sold $4,900 worth of merchandise, which means additional
(0.075×4900)=367.5
The total she make will be
367.5+365
=$732.5
Therefore,she will make $732.5 in a work week if she sold $4,900 worth of merchandise
How many meters are equal to 3 kilometers? Use the pattern in the number of zeros of the product when munding by a power of 10 to to you
30 meters
300 meters
3000 meters
30.000 meters
5x – 10 = 0 please answer!!!!
Answer:
add 10 which gives yoy 5x=10 divode by 5 that givdz u 2
Answer:
x = 2
Step-by-step explanation:
Joaquín compró una docena y media de factura la docena son parte de grasa dos tercios tiene dulce de leche y el resto son medialunas cuántas son de grasa Cuánto tiene dulce de leche Cuántas medialunas compró
Answer:
2 facturas de grasa.
12 facturas con dulce de leche
4 medialunas
Step-by-step explanation:
Una docena contiene 12 facturas y media docena contiene 6 facturas. Entonces Joaquin compro un total de 18 facturas (12+6). Si la novena parte (1/9) de las facturas son de grasa entonces solo multiplicamos esta fraccion por la totalidad de las facturas.
18 * (1/9) = 2 facturas de grasa.
La cantidad de facturas que tienen dulce de leche son dos tercios (2/3) de la totalidad. Entonces multiplicamos esta fracion for la totalidad.
18 * (2/3) = 12 facturas con dulce de leche
Por final, la cantidad de media lunas es el resto de las facturas, entonces descontamos las facturas de grasa y con dulce de leche de la totalidad para saber cuantas facturas son medialunas
18 - 2 - 12 = 4 medialunas
4x+3y=17 and 6x+7y=33
Answer:
y=-4/3x-5 y=7/6x-5
Step-by-step explanation:
That should be your answer I have already learn this so that should be right
Answer:
3x - 6b
Step-by-step explanation:
What is the circumstance of a circle with a diameter of 6 feet? Use 3.14 for n.
Answer:
C. 28.26
May I have brainliest please? :)
Simplify the following expression: c + c
Answer:
it can be simplify by c²
Answer:
2c
Step-by-step explanation: