Answer:
-The equation for this problem is:
y=50,000+20,000x
-The money in Sweet Sauce's account after July 31st is $190,000
-The money in the account after 2 years is $530,000.
Step-by-step explanation:
With the information provided, you can say that the money in the account would be equal to adding up the starting balance plus the profit per month for the number of months that have passed, which is:
y=50,000+20,000x, where:
y is the money in the account
x is the number of months that have passed
Now, to find the amount of money in the account after July 31st, you have to consider that this is the 7th month and you have to replace x with 7:
y=50,000+(20,000*7)
y=50,000+140,000
y=190,000
Also, to find the amount the amount of money in the account after 2 years, you have to consider that 2 years is equal to 24 months:
y=50,000+(20,000*24)
y=50,000+480,000
y=530,000
5/x+4=9/x-8. Solve for x.
Answer: x = 1/3
Step-by-step explanation:
5/x - 9/x = -8 - 4
-4/x = -12
x = -4/-12
x = 1/3
Answer:
-19
Step-by-step explanation:
symbolab- a website that you enter an equation in and it solves it for you it's free and no videos or anything :)
State the Postulate or Theorem
Answer:
7. Corresponding Angles Theorem
8. Alternate Interior Angles Theorem
9. Alternate Exterior Angles Theorem
10. Supplementary Angles Theorem
Step-by-step explanation:
Calculate the unknown sides and angles of the triangle ABC given.
Given the final answer correct to three significant figures.
C= 25.7° , b= 3.5cm, a = 6cm
Step-by-step explanation:
to understand thisyou need to know about:law of sinelaw of cosinePEMDASlet's solve:there are 3 ways to solve SAS triangle
use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two anglesand then use the three angles add to 180° to find the last angle.first figure out [tex]\angle C [/tex]
to do so we will use the formula of law of cosine of C angle
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.\cos(C) [/tex]
substitute the given values of a,b and [tex]\angle C[/tex]
[tex] \sf{c}^{2} = {6 }^{2} + {3.5}^{2} - 2.6.(3.5). \cos( {25.7}^{ \circ} ) [/tex]
simplify squares:
[tex]c^{2}=36+12.25-42.\cos(25.7^{\circ})[/tex]
simplify addition:
[tex]c^{2}=48.25-42.\cos(25.7^{\circ})[/tex]
square root both sides
[tex] \sf \: \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}[/tex]
simplify:
therefore
[tex]\bold{c=3.23}[/tex]
use law of sine to figure out angle A
[tex] \dfrac{6}{\sin( \angle \: A) } = \dfrac{3.23}{\sin(25.7)} [/tex]
therefore
[tex]\bold{\angle A=53.66°}[/tex](use calculater to simplify it)
therefore
[tex]\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}[/tex]
[tex]\bold{= 100.64}[/tex]
PLEASE HELP DUE AT MIDNIGHT
Answer:
268.1
Step-by-step explanation:
Area of Sphere =
[tex] \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \pi {4}^{3} \\ = 268.1 {units}^{3} (nearest \: tenth)[/tex]
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two
yellow marbles if the first one is placed back
in the bag before the second draw?
Answer:
2/10 * 2/10 = 1/25
Step-by-step explanation:
Suppose you have 10 marbles in a bag. 5 black , 2 pink and 3 blue
As if two pink marbles are selected then for one pink marble probability = event occurred / total outcome = 2/10
Similar probability for an other pink marbles Probability for the drawing two pink marbles is P = 2/10 * 2/10 = 1/25
Alyssa is going to invest in an account paying an interest rate of 4.3% compounded daily. How much would Alyssa need to invest, to the nearest dollar, for the value of the account to reach $330 in 17 years?
Answer:
159
Step-by-step explanation:
158.877856673=P
round:
P=159
Answer:
159
Step-by-step explanation:
PLEASE HELP...!!!!!!!!!!
Answer:
5 and 10
Step-by-step explanation:
You have all the information you need to find the area of the circle and then subtracting that from 77 you'll have the area of the rectangle and will be able to figure out the length and height by looking at the answer options.
So the area of a triangle is 1/2(b x h) or (b x h)/2 so the base is 6 and the height is 9 so the area is 54/2 which equals 27. 77 - 27 = 50 so the area of the rectangle is 50. With the answer options provided I can see that the height of the rectangle is 5 and the length is 10.
Samuel needs 233 feet of wood to build a fence.The wood comes in lengths of 11 feet. How many prices will samuel need to buy?
Answer:
21 pieces
Step-by-step explanation:
Given that,
Length of wood needed = 233 feet
The wood comes in lengths of 11 feet.
We need to find the number of pieces samuel need to buy. It can be done as follows :
Let he needed x peices. So
[tex]x=\dfrac{233}{11}\\\\x=21.18\\\\or\\\\x=21[/tex]
So, he will need approx 21 peices.
(10pts) find all the solutions to the equations.
Will give Brainliest, A car wash has a weekly ad in the local newspaper that is 2 inches wide and 4 inches high and costs $36.75 per week. The cost of each ad is based on its area. If the owner of the car wash decides to double the width and height of the ad, how much will the new ad cost?
Answer:
4+2+$36.75= $42.75
Step-by-step explanation:
4+2+36.75
6+36.75
42.75
Alternative Form
171/4,42 3/4
Answer:
4+2+$36.75=$42.75.
Step-by-step explanation:
6+36.75=42.75
x: y = 8:1
Which is the correct equation?
A. y=8x
B. x=8y
C. y=7x
Answer:
B. x=8y
Step-by-step explanation:
X*1=y*8
X=8y
I hope so that i help you
Answer this Quickly Please 50 points !!!!!!!!!!!!!!!
A seagull is flying in the sky 10 meters above sea level. Directly below the
seagull, a dolphin is jumping 2.5 meters above sea level. Directly below these
animals, is an octopus, swimming 10 feet below sea level. Select all the true
statements. *
10
k
S
vertical position (meters)
-5
-10
The difference in height between the seagull and the dolphin is -7.5 feet.
The difference in height between the seagull and the dolphin is 7.5 feet.
The difference in height between the dolphin and the octopus is -12.5 feet.
The difference in height between the dolphin and the octopus is 12.5 feet.
Use substitution to solve the following system of equations.
x + 4y = 8
2x - 5y = 29
I
Answer:
(12, - 1 )
Step-by-step explanation:
Given the 2 equations
x + 4y = 8 → (1)
2x - 5y = 29 → (2)
Rearrange (1), expressing x in terms of y by subtracting 4y from both sides
x = 8 - 4y → (3)
Substitute x = 8 - 4y into (2)
2(8 - 4y) - 5y = 29 ← distribute and simplify left side
16 - 8y - 5y = 29
16 - 13y = 29 ( subtract 16 from both sides )
- 13y = 13 ( divide both sides by - 13 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 8 - 4(- 1) = 8 + 4 = 12
solution is (12, - 1 )
[tex]x = 8 - 4y \: \: eqn \: 1[/tex]
now in eqn 2
[tex]2(8 - 4y) - 5y = 29[/tex]
[tex]16 - 8y - 5y = 29[/tex]
[tex]16 - 13y = 29[/tex]
[tex]16 - 29 = 13y[/tex]
[tex]13 = 13y[/tex]
[tex] \frac{13}{13} = y[/tex]
[tex]y = 1[/tex]
Now in eqn 1
[tex]x = 8 - 4y[/tex]
[tex]x = 8 - 4 \times 1[/tex]
[tex]x = 8 - 4[/tex]
[tex]x = 4[/tex]
therefore x=4 & y=1 answer
Find the area and circumference of the circle from the problem to the left. h 14 in Area= Circumferencer
Answer:
r is 14÷2=7in
r is 7
area of circle is pie R square
22÷7×7×7
154 in
since area = circumference
154=154
hope it helps
Can someone help please!
Answer:
Step-by-step explanation:
extend the line on the 5ft side to create a triangle and a rectangle.
Area of a rectangle is l x b
10 x 4 = 40ft^2
Area of a triangle is 1/2 base x height
the height of the triangle will be 10 - 5 = 5ft
the base of the triangle will be 12 - 4 = 8
1/2 (8) x (5)
20ft^2
Total area = area of triangle + area of rectangle
Total area = 20ft^2 + 40ft^2
Total area = 60 ft^2
In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches. Which of the following could be the length of side AC?
Answer:
16 inches
Step-by-step explanation:
The length of the side AC is 16 inches.
Calculation of the length of side AC:
Since
we know that two side lengths of a triangle as x and y (x greater than y), the third side z should satisfy the inequality
So, it can be like
x - y ≤ z ≤ x + y
Also,
The side lengths are x=17 and y=10,
So,
17 - 10 ≤ z ≤ 17 + 10
7 ≤ z ≤ 27
Therefore, the AC should be 16 inches.
learn more about length here: https://brainly.com/question/24545771
12
11
10
9
8
4
3
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10 11 12
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
-12
Answer:
You didn't say what the question was
Answer: 3
Step-by-step explanation:
Round your answer to the nearest hundredth if necessary. A figure is shown. 8X 44.49 What is the measure, in degrees, of the shaded angle?
You can download answer here
tinyurl.com/wpazsebu
Which of these is a unit of density?
Please help.
Answer:
I think is C.
Step-by-step explanation:
Hope it's help you ❤️❤️❤️❤️❤️❤️❤️
A child has a box of colored building blocks. He will choose one block without looking. The odds against choosing a blue block are 13/4. What is the probability of choosing a blue block?
Answer:
The answer is "0.2352".
Step-by-step explanation:
Given:
The chance of selecting a odds blue block [tex]= \frac{13}{4}[/tex]
[tex]=\frac{\text{Amount of unfavourable blue block evets} \ (13)}{\text{Amount of unfavourable blue block evets} \ (4)}[/tex]
total number of events are 13+4= 17
Calculating the probability of choosing the blue block
[tex]=\frac{\text{Amount of unfavourable blue block evets} }{\text{Amount of unfavourable blue block evets} } \\\\ = \frac{4}{17} \\\\ =0.2352[/tex]
Question 6
Which expression is equivalent to the expression shown?
2
7147²
712
17
716
77
Answer:
7^12
Step-by-step explanation:
if you are dividing the base numbers then you are subtracting the exponents
HELPPP please!!! need answer fast, very confused
Answer:
I think D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Its d
Someone please please..help me I don’t want to fail this..
Step-by-step explanation:
hope it helps you........
Reparte 280 euros entre 3 personas, de forma que la 1º reciba el triple que la 2º y esta el doble de la3º
Answer:
x = 31.11
Step-by-step explanation:
Let us assume the third person receives be x
Now the second person receives be 2x
And, the second be 3(2x) = 6x
The total is 280
Now the equation is
x + 2x + 6x = 280
9x = 280
x = 31.11
Find two integers whose sum is -20 and product is 99
Answer:
Step-by-step explanation:
let the integers be x and y
x+y=-20
y=-20-x
xy=99
x(-20-x)=99
-20x-x²=99
x²+20x+99=0
x²+11x+9x+99=0
x(x+11)+9(x+11)=0
(x+11)(x+9)=0
x=-11,-9
when x=-11
-11+y=-20
y=-20=11=-9
when x=-9
-9+y=-20
y=-20+9=-11
so integers are -11,-9
Jenna's only source of income is from her job at a car wash, where she works 25 hours each week. She is paid $9.90 per hour. What is her net weekly income if she pays $30.70 in payroll tax each week?
Answer: 216.8$
Step-by-step explanation:
25 x 9.9 = 247.5
247.5 - 30.70 = 216.8
Help me with this!!!
Answer:
15
Step-by-step explanation:
Answer:
TW= 15
Step-by-step explanation:
If UV ≈ VW it means the two triangles shown are congruent (or equal).
So if they are equal it means TU will equal TW.
TU = 15 = TW
Find the value of x in the isosceles triangle shown below.
V74
V74
Answer:
C. x = 10
Step-by-step explanation:
By Pythagoras Theorem:
[tex] \bigg( \frac{x}{2} \bigg)^{2} = {( \sqrt{74} )}^{2} - {7}^{2} \\ \\ \frac{ {x}^{2} }{4} = 74 - 49 \\ \\ \frac{ {x}^{2} }{4} = 25 \\ \\ {x}^{2} = 25 \times 4 \\ \\ {x}^{2} = 100 \\ \\ x = \sqrt{100} \\ \\ x = 10[/tex]
Answer:
C. x = 10Step-by-step explanation:
Use Pythagorean theorem.
(x/2)² = (√74)² - 7²(x/2)² = 25x/2 = √25x/2 = 5x = 10Correct choice is C
What is the volume of this composite solid?
4 m
6 m
10 m
6 m
O A. 372 cubic meters
B. 144 cubic meters
Ο Ο Ο Ο
O C. 600 cubic meters
D. 480 cubic meters
Answer:
its D. 480 cubic meters for Ape.x
Step-by-step explanation:
Choose the system of equations to solve the following: Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Determine the total number of adult and student tickets. *
A: 7.25a + 5.50s = 8 and a + s = 52.75
B: 7.25a + 5.50s = 52.75 and a + s = 52.75
C: 7.25a + 5.50s = 52.75 and a + s = 8
UMMMMMMMMMMMMMMM I don't know