Answer:
$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account
Step-by-step explanation:
Let the amount invested in first account be $x while the amount for second account is $y
Mathematically;
x + y = 10,000 •••••••••(i)
Interest on first account
= 14% of x = 14/100 * x
Interest on second account
= 8% of y= 8/100 * y
Adding all together will give total
14/100 * x + 8/100 * y = 1238
Multiply through by 100
14x + 8y = 123800 •••••••(ii)
From equation 1, x = 10,000 - y
Insert this into second equation
14(10,000-y) + 8y = 123,800
140,000 - 14y + 8y = 123,800
140,000 - 6y = 123,800
6y = 140,000 - 123,800
6y = 16,200
y = 16,200/6
y = $2,700
Recall
x + y = 10,000
x = 10000 - y
x = 10,000 - 2,700
x = $7,300
Step-by-step explanation:
Hope this helps :)
Solve the equation shown:
2.5x + 18 = 3.5x - 4
X=
Answer:
X=22
Step-by-step explanation:
Step 1: Subtract 3.5x from both sides.
2.5x+18−3.5x=3.5x−4−3.5x
−x+18=−4
Step 2: Subtract 18 from both sides.
−x+18−18=−4−18
−x=−22
Step 3: Divide both sides by -1.
−x/-2 = -22/-1
x=22
The value of x in the given equation is 22
The given equation;
2.5x + 18 = 3.5x - 4
To find:
the value of xThe equation is simplified as follows;
2.5x + 18 = 3.5x - 4
collect similar terms together
2.5x - 3.5x = - 4 - 18
- x = - 22
x = 22
Thus, the value of x in the given equation is 22
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One moving company charges $500 plus $20 per hour. Another moving company charges $620 plus $10 per hour. Write an equation to determine how many hours have to be worked for the moving companies to charge the same amount. Solve to determine how many hours?
Answer:
12 hours
Step-by-step explanation:
Let's say that our variable is x, where x equals the amount of hours.
You have an upright price of $500 for the first company, as well as an additional $20 an hour.
The second company has an upright price of $620, and charges $10 an hour.
f(x)= 20x+500
g(x)= 10x+620
You want to find how many hours must be worked for the two companies to charge the same amount.
You want to find how many miles it takes to make the two equations equal:
20x+500=10x+620 (Set them equal to each other because you are trying to find when the hours are equal and the cost is equal)
10x+500=620 (Subtract 10x from both sides)
10x=120 (Subtract 500 from both sides)
x=12 (Divide both sides by 10)
Remember that x is the amount of hours, so, the companies would charge the same if they worked for 12 hours.
The vet says the Lenas puppy will grow to be at most 33 in tall Lenas puppy is currently 1 foot tall how many more inches will the puppy grow?
Answer:
21 in
Step-by-step explanation:
1 ft=12 in
33in-12in=21in
What is the slope-intercept form of the equation -4x+6y=-2
Y=2/3x-1/3 is you slope intercept form of the equation
Answer:
Y=2/3x-1/3
Step-by-step explanation:
Coach Sweeney walks 26 yards to the north along the sideline, pauses, and walks 12 yards back to the
south.
a. Determine the distance which Coach moved. b. Determine Coach's resultant displacement
Answer:
Distance: 38 yards
Displacement: 14 yards
Step-by-step explanation:
which power of ten will you multiply by to convert meters to millimeters?
Answer:
multiply by 1,000
Step-by-step explanation:
since there are 1,000 millimeters per meter
Answer:
3 power
Step-by-step explanation:
Can two obtuse angles be supplementary
Answer:
no,
Step-by-step explanation:
two numbers have to equal 180 degrees. The biggest numbers can only be 90+90 and that is a right angle.
\dfrac{6}{3}+\left(-\dfrac{1}6\right)= 3 6 +(− 6 1 )=start fraction, 6, divided by, 3, end fraction, plus, left parenthesis, minus, start fraction, 1, divided by, 6, end fraction, right parenthesis, equals
Answer:
1 5/6
Step-by-step explanation:
We are given:.6/3 + (- 1/6)
We have the rule
+ × - = -
Hence
6/3 - 1/6
LCM of the Denominators = 6
=(6 × 2) -(1 × 1)/6
= (12 -1)/6
= 11/6
= 1 5/6
Answer:
1 5/6
Step-by-step explanation:
if f(x)=2/3x2 +8x, what is the value f(6)
Answer:f(6)=72
Step-by-step explanation:
Explain how to simplify fractions before multiplying. Reduce 7/8 x 4/14 and solve.
Answer:
4 /14 ÷ 7 /8 =16 /49
Step-by-step explanation:
HOPE THIS HELPS
HAVE A GOOD DAY
STAY SAFE
BYEE.
Kay makes $54.00 for 6 hours of work. How much money does she earn per hour?
Show or explain your work. Write your answer in a complete sentence.
Answer:
She makes 9$ per hour.
Step-by-step explanation:
You divide 54 and 6 and you get your answer. Simple.
Wayne is planning to sell the twenty-room apartment building he bought fifteen years ago, for which he paid $759,000. The real estate market in his area has been falling since that time, and the property has decreased in value by 3.89% every year. Wayne rents each of his apartments for $495 per month, and upkeep on the building costs him $26,400 annually. Assuming that Wayne has kept his apartment com plex constantly three-quarters full, what will his net profit or loss be when he sells the building, to the nearest hundred dollars? a. $61,500 loss
b. $722,400 loss
c. $168,000 profit
d. $606,000 profit
Answer:
D
Step-by-step explanation:
ED2020
The net profit of Wayne be when he sells the building is $606000 and this can be determined by using the formula of profit.
Given :
Wayne is planning to sell the twenty-room apartment building he bought fifteen years ago, for which he paid $759,000.The real estate market in his area has been falling since that time, and the property has decreased in value by 3.89% every year. Wayne rents each of his apartments for $495 per month, and upkeep on the building costs him $26,400 annually.Assume that Wayne has kept his apartment complex constantly three-quarters full.First, determine the annual revenue which is given by:
Annual Revenue = Monthly Rent [tex]\times[/tex] Number of Rooms [tex]\times[/tex] Number of months [tex]\times[/tex] Three-quarters
Annual Revenue = 495 [tex]\times[/tex] 20 [tex]\times[/tex] 12 [tex]\times[/tex] (3/4) = $89100
Total Profit = (Annual Revenue - Annual Cost) [tex]\times[/tex] (Number of years)
= (89100 - 26400) [tex]\times[/tex] 15
= $940500
Now, the net profit of Wayne when he sells the building is given by:
Net Profit = Value of the building at the end of the 15th year + Total profit from renting - Cost of the building
Net Profit = 424490.38 + 940500 - 759000 = 605990.38
Net Profit [tex]\approx[/tex] $606000
Therefore, the correct option is D).
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Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Online Content: Site 1 If a person wanted to purchase their dream car, and keep it for many years, should they lease or buy? Why?
Answer:
Buy
Step-by-step explanation:
If it is truly your dream car and you want to keep it for many years to come without an exact amount of time then the best option would be to buy the car, assuming that you have the necessary cash to do so. Leasing a car means you would have to pay a monthly amount every single month, this amount quickly adds up and can become more than what the car is actually worth. Also, regardless of how many payments are made, once you stop making payments you would need to return the car. The car is never going to be owned by you by leasing. If you buy the car, once you decide you no longer want it, it is still yours to do as you wish. This includes selling it.
Marie needs a trombone for only 12 months.
Renting the trombone costs $34 per month. She
can buy the trombone for $495. Should she buy
or rent the trombone? Explain. How much will
she pay?
Answer:
Marie should rent the trombone
Step-by-step explanation:
If Marie rents it for 12 months it'll be 12x34= $408.
If Marie buys a trombone it'll cost her 495 which is more expensive.
Estudios indican que la temperatura del agua disminuye conforme aumenta la profundidad: si en la superficie la temperatura es de 28°C (grados centígrados), a 200 metros es de 15°C. Si el comportamiento es lineal, determina la ecuación de la recta que relaciona a la temperatura con la profundidad.
Answer:
The equation that relates temperature to depth is y = 28 - 0.065·x
Step-by-step explanation:
Los parámetros dados son;
La temperatura del agua en la superficie = 28 ° C
La temperatura del agua a 200 m por debajo de la superficie = 15 ° C
Dado que la relación es lineal, tenemos;
Sea la pendiente de la relación = m, por lo tanto;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Dónde;
x₁ = 0 m, y₁ = 28 ° C, x₂ = 200 m, y₂ = 15 ° C, tenemos;
[tex]Slope, \, m = \dfrac{15^{\circ}C-28^{\circ}C}{200 \, m-0 \, m} = \dfrac{(-13)^{\circ}C}{200 \, m} = -0.065 ^{\circ}C/m[/tex]
Por lo tanto, la ecuación en forma de pendiente puntual se convierte en;
y - 28 = -0,065 × (x - 0)
y = -0.065 · x + 28 = 28 - 0.065 · x
Por lo tanto, la ecuación que relaciona la temperatura con la profundidad es y = 28 - 0.065 · x.
Please answer this question.I would really appreciate it! I have put a picture of it right here.
Answer:
this equation don't have x... Just y
y = 10
the one in the bottom is 2.
Which ones do i choose
Answer:
-1 no explanation this is so easy
Step-by-step explanation:
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An object was dropped off the top of a building. The function f(x)=-16x^2+400represents the height of the object above the ground, in feet, x seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.
Answer:
Domain exists on all real values and it is expressed according to the notation:
(-∞, ∞)
Step-by-step explanation:
The domain of a function is the values of the input variables x that will make the function exist.
Given the function f(x)=-16x^2+400
Since the variable x is a perfect square, this means that the function f(x) will exists for all values of x. The domain is expressed as:
(-∞, ∞)
Help pleaseeeee i cant do this
Answer:
1010
Step-by-step explanation:
One bag of pretzels costs three dollars. Five bags of pretzels cost $10. Which has the lower unit price?
Answer:
one bag of pretzels
Step-by-step explanation:
hope this helps
Answer:
1 bag: $3
Step-by-step explanation:
The ratios are
1 bag: $3
5 bags: $10
to do this you need to simplify, the first one is already simplified so we need to do the second
5 bags: $10
=
1 bag: $2
So the first one is bigger
I need a step by step explanation on how to get y = mx + b
In addition to his hourly wage, albert earns bonus when the amount of money collected is greater than the cost to print the total number of programs he sold. His bonus is equal to 1/2 of the difference between the amount of money collected. M(x)=2.50x and the cost c(x) = 0.5x + 40
Complete question is;
In addition to his hourly wage, albert earns bonus when the amount of money collected is greater than the cost to print the total number of programs he sold. His bonus is equal to 1/2 of the difference between the amount of money collected M(x) = 2.50x and the cost c(x) = 0.5x + 40
How much does Albert earn as bonus when he sells 309 baseball programs?
Answer:
Bonus earned for selling 309 baseball programs = $289
Step-by-step explanation:
We are given formula for amount collected as;M(x) = 2.50x
Now, if he sells 309 baseball programs, it means, amount collected is;
M(309) = 2.5(309) = $772.5
We are told cost formula is;
c(x) = 0.5x + 40
Thus;
c(309) = 0.5(309) + 40
c(309) = $194.5
We are told that his bonus is when the amount of money collected is greater than the cost to print the total number of programs he sold.
Thus;
Bonus = $772.5 - $194.5
Bonus = $578
We are told he earns ½ of the bonus.
Thus, he earns ; ½ × 578 = $289
PLS HELPPP ME ASAP I WILL GIVE BRAINLIEST!!!!n
Answer:
392in²
Step-by-step explanation:
Bottom = 6x10=60
Back = 10x6=60
Front = 10x6 + 4x4=76
Back = 76
6x4=24
6x4=24
6x6=36
6x6=36
392 Total
List two different possibilities for the angle measures of an isosceles triangle.
Answer:
Two different possibilities for the angle measures of an isosceles triangle are-:
In an isosceles triangle, the base angles have the same measure of degree and are equal (congruent) as a result.If two angles of a triangle have identical lengths in this triangle, then the sides opposite such angles are of the same length.Step-by-step explanation:
AN ISOSCELES TRIANGLE -: The term isosceles, with the focus on the "sos," is pronounced "eye-sos-ell-ease." It is any triangle of the same length that has two sides. The unequal side of a triangle of isosceles is generally referred to as the triangle's 'base'. An isosceles triangle's base angles are always equal.
Rewrite 8.62 as a mixed number in simplest form.
Answer:
8 31/50
Step-by-step explanation:
HOPE THIS HELPS
Answer:
831 / 50
Step-by-step explanation:
Welcome !!!!!
please help me with this last question.
Answer:
d. 16Step-by-step explanation:
d. 16 is the correct answer....Hopes to get BRAINLIEST....
Thank you ☺️
Answer:
d. x = 16
Step-by-step explanation:
From the alternate interior angle theorem, we can see that the sum of the 2 labeled angles is 180. We can therefore set up an equation and solve for x:
7x + (2x + 36) = 180
9x + 36 = 180
9x = 144
x = 16
Therefore, x = 16.
A. Car B was 5 miles east of car A.
B. Car A was 15 miles east of car B.
C. Car A was 5 miles east of car B.
D. Car B was 20 miles east of car A.
Answer:
B because if you go up two then over 5
Answer:
The answer is C
Ms. Smith bought 30 boxes of pencils in the beginning of the year. Each box cost $2.15 including tax. 6/15 of the boxes she bought have been used. How much money did she spend on the remaining boxes?
Answer:
$45
Step-by-step explanation:
In order to begin solving this problem, we need to first calculate the number of remaining (unused) boxes. We do this by multiplying the total number of boxes by the percentage of boxes remaining. Since Mr. Smith used 6/15 of the boxes we know that there are 9/15 remaining (15-6 = 9). If we divide 9 by 15 we get 0.60 which is the percentage of remaining boxes in decimal form. Now we simply multiply this by the total initial number of boxes
30 * 0.60 = 18 remaining boxes
Now that we know how many unused boxes there are, we simply multiply this number by the cost of each box.
18 * $2.15 = $45
Solve the equation, justify
each step with an algebraic
property.
-45 = 5(x + 3)
Answer:
x = -12
Step-by-step explanation:
Given expression:
-45 = 5(x + 3)
the solution of an algebraic expression is the value(s) that makes the expression true.
In this problem, let us solve for x;
-45 = 5(x + 3)
Applying the distributive property on the right hand side;
-45 = 5x + 15
Now, add (-15) to both sides of the expression;
-45 + (-15) = 5x + 15 + (-15)
-45 - 15 = 5x
-60 = 5x
Then divide both sides by 5;
x = -12
Express 7.6109 x 108 in standard form.
A. O 7,610,900,000
B. O 76,109,000
C.O 761,090,000
D. O 0.000000076109