Answer:
$440
Step-by-step explanation:
Interest=Principal × Rate × Time/100(Formula)
We have to find the Interest.
Interest = $2000× 5.5 × 4/100
100 Interest = 44000
Interest = 44000/100
Interest = $440(Answer)
simple interest
formula = PRT/100
P = 2000$
rate = 5.5%
time = 4 years
= 2000 x 5.5 x 4 / 100
= 440$
amount = S.I. + P
= 2000 + 440
= 2440
compound interest
formula for amount = P( 1 + r/100 )^n
= 2000( 1 + 5.5/100 )^4
= 2000 (100/100 + 5.5/100)^4
= 2000 ( 105.5/100 )^4
2000 x 105.5/100 x 105.5/100 x 105.5/100 x 105.5/100
= 2 x 105.5 x 105.5/10 x 105.5/100 x 105.5/100
= 211 x 105.5/10 x 105.5/100 x 105.5/100
= 2215.5 x 105.5/100 x 105.5/100
= 2,454.22
compound interest = A - P
= 2454.22 - 2000
= 454.22
Please help me find the slope of this line!
Answer:
m=3/2
Step-by-step explanation:
PLEASE HELP ME I ONLY HAVE 20 MINUTES!!!!
The height of a tennis ball
tossed into the air is modeled by h(x) = 40x -16x^2, where x is elapsed time in seconds. During what time interval will the tennis ball be at least 15 feet above the ground?
I’m pretty sure it’s D but I need an explanation why!!!
[tex]h(x) = 40x - 16x^2\\h(x) = 15\\40x - 16x^2 = 15\\-16x^2 + 40x - 15 = 0\\[/tex]
Using the quadratic formula we get
[tex]x_1 = 0.5\\x_2 = 2.04[/tex]
Therefore the tennis ball is at least 15 feet above the ground from 0.5 seconds to 2.04 seconds
A rectangular prism and its dimensions are shown in the diagram.
What is the total surface area of this rectangular prism in square inches?
Answer:
SA=78.5
Step-by-step explanation:
Find the area to all visible sides. 4*2.5=10, 10*2 (because there is two of these shapes) is 20. 4.5*4=18, 18*2=36. Finally, 4.5*2.5=11.25, 11.25*2=22.5.
20+36+22.5=78.5
evaluate :5+1/6(-5/3)
Answer:
Step-by-step explanation:
Use PEMDAS
First you do the multuplication of
1/6*(-5/3)=-5/18
Next you do the addition
5+(-5/18)= 90/18-5/18= 85/18
the length of a rectangular feild exceeds its breadth by 15m and perimeter is 90m. Find its area
Answer:
450
Step-by-step explanation:
Length = l
Breadth = b
l = 15 + b
Perimeter = 90
Perimeter = 2(l + b)
90 = 2(15 + b + b)
90 = 2(15 + 2b)
90 = 30 + 4b
90 - 30 = 4b
60 = 4b
60/4 = b
15 = b
Hence, l = 15 + 15 = 30
Area = l * b
Area = 30 * 15
Area = 450 unit²
Each person in a group of twenty people at a hotel orders one meal chosen from oatmeal, eggs, or pancakes and one hot beverage chosen from coffee or tea. One person will be selected at random from the twenty people. What is the sample space for the meal and beverage for the person selected
Answer:
[tex]S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),[/tex] [tex](Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}[/tex]
Step-by-step explanation:
Given
[tex]Meal = \{Oatmeal, Eggs, Pancakes\}[/tex]
[tex]Beverage = \{Coffee, Tea\}[/tex]
Required
Determine the sample space
The sample space is a list of combination of 1 meal and 1 beverage.
Because one individual can order only one of the meals and one of the beverages at any one time, then no two orders can be the same
The sample space (S) is as follows:
[tex]S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),[/tex] [tex](Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}[/tex]
According to Greg, perfect cherry pies have a ratio of
240
240240 cherries to
3
33 pies.
How many cherries does Greg need to make
9
99 perfect cherry pies?
Answer:1200 pies
Step-by-step explanation: so like, its confusing with all this change into like weird stuff. but just multiply 240 by 5.
Kim and Danielle each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Kim spent $62 on 5 hostas and 4 pots of ivy. Danielle spent $144 on 8 hostas and 12 pots of ivy. What is the cost of one hosta?
Answer:
The cost of one hosta is $6
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.
In this case, the variables are:
x = price of a hosta .y = price of a pot of ivy.If Kim spent $62 on 5 hostas and 4 pots of ivy, t his is represented by the equation: 5*x +4*y= 62
If Danielle spent $144 on 8 hostas and 12 pots of ivy, t his is represented by the equation: 8*x +12*y=144
So, the system of equations to solve is:
[tex]\left \{ {{5*x+4*y=62} \atop {8*x+12*y=144}} \right.[/tex]
One way to solve a system of equations is through the substitution method, which consists of solving or isolating one of the unknowns (for example, x) and substituting its expression in the other equation. In this way, you obtain an equation of the first degree with the other unknown, and. Once solved, you calculate the value of x by substituting the already known value of y.
Isolating y from the first equation:
[tex]y=\frac{62-5*x}{4}[/tex]
and replacing this expression in the second equation you get:
[tex]8*x +12*\frac{62-5*x}{4}=144[/tex]
Solving:
[tex]8*x +\frac{12}{4}*(62-5*x)=144[/tex]
8*x + 3*(62-5*x)=144
8*x + 3*62 - 3*5*x=144
8*x + 186 - 15*x=144
8*x - 15*x=144 -186
(-7)*x= -42
x= (-42)÷ (-7)
x= 6
The cost of one hosta is $6
I’ll mark youyou brainlist
I’ll mark youyou brainlist
Answer:
31°
Step-by-step explanation:
90° - 59° = 31°
31° + 59° = 90°
What is 1+1 need the answer ASAP.
Answer:
Step-by-step explanation:
2
(2m + 7) + (5x + 4) =
Hurry help please
Answer:
5x + 2m + 11
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
(2m + 7) + (5x + 4)
Step 2: Simplify
Combine like terms (Z): 5x + 2m + 11Adrianna and her friend rode the bus 13 times in a month and it cost $4 for each of them each time. If Arianna always paid for both of them, how much did it cost her for the month?
To make a certain shade of green, Kyle mixes 2 cups of blue paint with 10 cups of yellow paint. If he needs to make more green paint but only has 1 cup of blue left, he will need cups of yellow paint
Answer:
he will need 5 cups of yellow paint
Step-by-step explanation:
10÷2=5, and that means he will need 5 cups of yellow paint per one cup of blue paint
Let’s see who smart what is it and why
Answer:
Step-by-step explanation:
Wheelbarrows is 30/3 = 10
Pair of shoes is (18 - 10) /2 = 4 so one shoe is 2
2 Seed bags is 4 - 2 = 2 so one bag is 1
Answer is 1(seed baf) + 10(wheelbarrows X 2(shoe) = 21
Which phrase best describes the graph of a proportional relationship?
OA. a straight line passing through the origin
OB.
a straight line
Ос.
a curve
OD
not a straight line
Answer:
A straight line passing through the origin
Step-by-step explanation:
A proportional relationship will have a particular quantity being related to another
For example, the relationship might be inverse or direct
In this case, we can have a straight line graph that passes through the origin
A straight line graph that passes through the origin would show the proportional relationship as it has no slope whatsoever
If
x
=
2
and
y
=
6
, evaluate the following expression:
20
−
(
3
y
−
4
x
)
Answer:
10
I did the calculations
Solve the inequality:
2x+4 ≥ 24
x ≥ 10
x ≥ 6
x > 10
x < 10
HELP. How long is the minor axis for the ellipse shown below?
Answer:
Correct answer is 8
2b aka 2(8) aka 16
Step-by-step explanation:
The price of an item has been reduced by 85% the original price was $95 what is the price of the item
Answer:
14.25
Step-by-step explanation:
95 x 0.85 = 80.75
95-80.75 = 14.25
Kaitlyn's older brother borrowed money for school he took out a loan that charges 6% simple interest he will end up paying 720 and interest after 6 years how much is Kaitlyn's brother borrow for school?
please please help asap
Answer: 2000
Step-by-step explanation:
The following can be gotten from the question:
Principal = Unknown
Rate = 6%
Time = 6 years.
Interest = 720
Note that: Interest = PRT / 100
720 = (P × 6 × 6) / 100
720 = 36P / 100
720 × 100 = 36P
72000 = 36P
Principal = 72000 / 36
Principal = 2000
The amount that he borrowed is 2000.
how many kilometers will a car travel in t hours at a rate of v km per hour
Answer:
vt km
Step-by-step explanation:
t - time
v - velocity
s - displacement (aka how many killometers)
the formula for s:
s=v×t
PLEASE HELP Michaels home is 12 feet below sea level in his mothers home is 12 feet above sea level Michael says their homes are at opposite elevation is because they are in opposite directions is he correct? Explain. I only have 2 more days to finish my work!
Answer:
Yes, he is correct
Step-by-step explanation:
Represent Michael's home with M and his mother's with H
So, we have:
[tex]M = 12\ ft (below)[/tex]
[tex]H = 12\ ft (above)[/tex]
Required
Is Michael correct?
First, we get the numeric values of the given parameters.
Below sea level means negative:
So:
[tex]M = 12\ ft (below)[/tex] will be rewritten as:
[tex]M = -12[/tex]
Above sea level means positive:
So:
[tex]H = 12\ ft (above)[/tex] will be rewritten as:
[tex]H = 12[/tex]
Two numbers [tex]A\ and\ B[/tex] are said to be opposite if [tex]A + B=0[/tex]
For Michael to be correct:
[tex]M + H = 0[/tex]
Substitute values for M and H
[tex]-12 + 12 = 0[/tex]
[tex]0 = 0[/tex]
Hence, Michael is correct
I WILL MARK BRAINEST!! Is it okay if you can answer the questions 1-3 or just 1 of the Questions with an explanation please!!!
Answer:
Step-by-step explanation:
a. 0.04... 4/100... 0.04
b. 4.25... 4 25/100... 4.25
c. 4... 4/100... 0.04
Answer:
1a)0.0004; 1/2500
1b)0.0425; 17/400
1c)0.04; 1/25
2a)0.5; 50%
2b)0.8; 80%
2c) 3; 300%
3a)68.2%; 5/8
3b)0.45%; 9/2000
3c)170%; 17/10 or 1 7/10
Step-by-step explanation:
Need help please !!!!
Answer:
3rd 1
Step-by-step explanation:
because ive done math for 17 years
CAN SOMEONE HELP ME HOW U DO THIS
Answer: 10% of 65.9
Step-by-step explanation:
Solve the inequality
Answer:
C. y<-4
Step-by-step explanation:
y/-2+3<5y/-2<5-3y/-2<2y<2x-2y<-4Which table represents a linear function?
Answer:
The fourth option, it's the only FUNCTION that is also not exponential
Step-by-step explanation:
a bamboo shoot is 20 inches tall at day zero
Answer:
ok, and?
Step-by-step explanation:
Next time you post a question. Make sure it is complete
A sunflower grows at a rate of 4cm each day.
How many days does it take to grow from a height of 80cm to more than 1.06m?
Answer:
6.5 days
Step-by-step explanation:
106 - 80 =26
26/4= 6.5 days
Answer:
for 80cm
1 =4 cm
x=80cm
4 cmx=80 cm
4 cm. 4 cm
x=20 days
Step-by-step explanation:
1 is equal to 4cm
there x is equal to 80cm
cross multiply
then divid though by 4 because it has letter x
and finally you 20 days as your answer.
How many whole groups of 8 can we pull out of 1
Answer:
0.125
Step-by-step explanation:
1/8=0.125