Given :
James puts $3,500 into a savings account that earns 2.5% simple interest.
He does not touch that account for 3 years.
To Find :
The new balance of the account be after 3 years.
Solution :
Interest on $3500 after 3 years is :
[tex]I = \dfrac{P_o\times r\times t}{100}\\\\I = \dfrac{3500\times 2.5\times 3}{100}\\\\I = \$262.5[/tex]
So, new balance of the account after 3 years is $( 3500+262.5 ) = $3762.5 .
Hence, this is the required solution.
A taxi service charges $1.00 for the first 1/10
mile then $0.10 for each additional 1/10
mile after that.
Complete the table with the missing information.
9/10
2
3 1/10
10
Answer:
9/10=$1.08
2=$1.19
3 1/10=$1.30
10=$1.99
Step-by-step explanation:
9/10-1/10=8/10
8/10x0.10=0.08
1+0.08=1.08
Same process for all the rest
Medical researchers studying a medication in male and female patients 20 to 29 years old noticed that, up to a certain amount, a larger concentration of an active ingredient lead to greater levels of symptom relief.
What is the explanatory variable?
A) age of patient
B) gender of patient
C) amount of symptom relief
D) concentration of active ingredient
Answer:
D
Step-by-step explanation:
The required explanatory variable is concentration of active ingredients. Option D is correct.
Given that,
From the paragraph, "Medical researchers studying a medication in male and female patients 20 to 29 years old noticed that, up to a certain amount, a larger concentration of an active ingredient lead to greater levels of symptom relief." it is to be determined which is an explanatory variable.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
A) age of patient = Not explanatory
B) gender of the patient = Not explanatory
C) amount of symptom relief = Not explanatory
D) concentration of active ingredient = Explanatory
Thus, the required explanatory variable is the concentration of active ingredients. Option D is correct.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
Solve for x. 0=2x^2 - 8 x - 10
Answer:
its 1 or -5
Step-by-step explanation:
The freezing point of of gasoline is about -50 degrees Celsius, and the freezing point of water is 0 degrees Celsius. What is the difference between the freezing point of water and gasoline? Explain your answer.
Answer:
the difference is that -50 is -50 celsius from 0 hope this helps at all!?
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
0 is larger then -50 and you want the difference so minus them
0-(-50) now when 2 negative signs meet like this they turn to addition
0+50 which is 50
their difference is 50
If the measurement of Angle 1 = 160 degrees, what is the measurement of Angle 2?
A. 40
B. 35
C. 20
Answer:
C
Step-by-step explanation:
im pretty sure it this because it would make 180 degrees ;-;
Answer:
20 degrees
Step-by-step explanation:
angles on a straight line/ straight line angles/ supplementary angles = 180 degrees
angle 1 + angle 2 = 180 degrees
160 + angle 2 = 180
angle 2 = 180 = 160
angle 2 = 20 degrees
It costs $3.55 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 160% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.)
Answer:
5.68
Step-by-step explanation
Im not sure if this is correct but if im right its 5.68
Please help me.I'll give you some points
from where I stopped, you could solve using a scientific calculator
Calculate the force output by the larger piston of a hydraulic lift when a force of 800 N is exerted on the smaller piston. The areas of the two pistons are 20 cm2 and 500 cm2.
answer:
F2= 5kNstep by step explanation
Note the second diameter was used as 50cm and not 500cm
given
F1=800N
D1=20cm
A1=πD1^2/4
=3.142*20^2/4
=314.2cm^2
D2= 50cm
A2=πD2^2/4
=3.142*50^2/4
=1963.75cm^2
The pressure applied on the smaller relative to the bigger end is expressed as
F1/A1=F2/A2
substitute we have
800/314.2=F2/1963.75
cross multiply we have
F2=800*1963.75/314.2
F2=1571000/314.2
F2=5000N
F2=5kN
The larger Force is 5kN
Marissa bought x shirts that cost $19.99 each and y pairs of shorts that cost $14.99 each. The next day she went back to the store and bought 3 more shirts that cost $19.99 each and 4 more pairs of shorts that cost $14.99 each. Which expression represents the total amount Marissa spent? StartFraction x + 3 over 19.99 EndFraction + StartFraction y + 4 over 14.99 EndFraction StartFraction 3 x over 19.99 EndFraction + StartFraction 4 y over 14.99 EndFraction 19.99 (x + 3) + 14.99 (y + 4) (3 x) 19.99 + (4 y) 14.99
Answer:
19.99(x+3)+ 14.99(y+4)Step-by-step explanation:
Step one:
given data
day one
x shirts that cost $19.99 each and
y pairs of shorts that cost $14.99 each.
Day two
3 more shirts that cost $19.99 each and
4 more pairs of shorts cost $14.99 each.
Step two:
the total number of shirts is
x+3
and the total number of shorts is
y+4
The total cost is ex[ressed as
19.99(x+3)+ 14.99(y+4)
Answer:
its c!!
Step-by-step explanation:
In Triangle JKL, ∠J is congruent to ∠L. Triangle J K L is shown. Ray L K extends beyond point K to form an exterior angle that is labeled sixty-seven and eight tenths degrees. What is the measure of ∠L? Enter the correct answer in the box.
Answer:
m<L = [tex]33.9^{o}[/tex]
Step-by-step explanation:
Triangle JKL is an isosceles triangle, given that <J ≅ <L. An isosceles triangle has two of its angles and sides to be equal.
The exterior angle formed = [tex]67.8^{0}[/tex]
But,
<J + <L = [tex]67.8^{0}[/tex] (the sum of two opposite interior angles is equal to the exterior angle)
Let <J ≅ <L be represented by a, so that;
a + a = [tex]67.8^{0}[/tex]
2a = [tex]67.8^{0}[/tex]
a = [tex]\frac{67.8^{o} }{2}[/tex]
= [tex]33.9^{o}[/tex]
The measure of <L is m<L = [tex]33.9^{o}[/tex] (m<L =
Thus,
m<J ≅ m<L = [tex]33.9^{o}[/tex]
how do i solve this problem ?
Answer:
find the areas of each triangle with the formula
1/2bh which is basically 1/2 multiplied by the base and height of the triangle
since there's two triangles solve the equation by dividing each triangle
4x - 30x3 - 4x2
What is the polynomial in standard form
Answer:
-368
Step-by-step explanation:
Which graph shows the solution set for 2 x + 3 greater-than negative 9? A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Answer:
Step-by-step explanation:
2x+3> -9
2x > -9-3
2x > -12
x > -12/2
x > -6
An open circle is at negative 6. Everything to the right of the circle is shaded.
Answer:
d
Step-by-step explanation:
cuz the top person said so and i had to use my brain to know which one they were talking about
Is this correct??????????
PLZ HELPPPP HElPPPPPPPPPPP HELPPPP ME
Answer:#1.
A=the amount of miles traveled and gallons of fuel
B=Y is the first one it is the amount of miles traveled
C=30x 150
#2.
A=3x 602
B=height of tree inches
C= the number of months
Step-by-step explanation:
i have already had this question
If Paula divides her pencils among three friends and herself, everyone gets the same number of pencils. If Paula divides her pencils among
five friends and herself, everyone will get the same number of pencils.
How many pencils could Paula have?
A 28
B. 30
C. 42
D. 48
C. How much fence would Mr. Brown need
to fence the garden?
Answer:
Whats the area or perimeter?
in Nathan's pocket there nickels and quarters. There are three more nickels than twice the number of quarters. The coins amount to $2.60. How many quarters does Nathan have in his pocket? How many nickels does Nathan have in his pocket?
My teacher said to do an number line with it :(
Answer:
3+1¼=⅓+1/5=8/15
Final answer is 8/15
Step-by-step explanation:
Im not sure.....
Bonnie is making a dipping sauce. She mixes 150150150 milliliters of soy sauce with 100100100 milliliters of vinegar. How much soy sauce does Bonnie mix with every 111 milliliter of vinegar?
Complete Question
Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar. How much soy sauce does Bonnie mix with every 1 milliliter of vinegar?
Answer:
1.5 mm soy sauce
Step-by-step explanation:
Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar. How much soy sauce does Bonnie mix with every 1 milliliter of vinegar?
Hence:
100 mm vinegar = 150mm soy sauce
1 mm vinegar = x
Cross Multiply
100 × x = 150 × 1
x = 150 × 1/100
x = 1.5 mm soy sauce
Hence, Bonnie mixes with every 1 milliliter of vinegarwoth 1.5 mm soy sauce
Complete Question
Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar. How much soy sauce does Bonnie mix with every 1 milliliter of vinegar?
Answer:
1.5 mm soy sauce
Step-by-step explanation:
Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar. How much soy sauce does Bonnie mix with every 1 milliliter of vinegar?
Hence:
100 mm vinegar = 150mm soy sauce
1 mm vinegar = x
Cross Multiply
100 × x = 150 × 1
x = 150 × 1/100
x = 1.5 mm soy sauce
Hence, Bonnie mixes with every 1 milliliter of vinegarwoth 1.5 mm soy sauce
List the domain and range of the relation.
{(4-3), (8,8), (0.-3)(8.1) (4.3)}
The domain is
Answer:
(4,-3) Domain: 4. (8,8) Domain: 8. (0,-3) Domain: 0. (8,1) Domain: 8 (4,3) Domain: 4
WILL GIVE BRAINLIEST determine if the function is linear. if it is, find the rate of change
Answer:
No, the function isn't linear. I know because the following points don't form a line. The values for the last 3 are y=-x.
Step-by-step explanation:
I'm so sorry. I can't find the rate of change. Use this image to help.
5 footballs to 9 baseballs,
The ratio of the number of footballs to the number of baseballs is,
The ratio of the number of baseballs to the number of footballs is,
Answer:
footballs to baseballs is 5:9
baseballs to footballs is 9:5
Step-by-step explanation:
football to baseball: there is 5 footballs and 9 baseballs
baseball to football: there is 9 baseballs to 5 footballs
Answer:
5:9
9:5
Step-by-step explanation:
When Bob was 5 years old his brother Fred was 2 years old how old was fred when bob was born
0
Step-by-step explanation:
bob:fred
5. : 2
0. :0
bob is older than fred with 3 years so when bob was born the fred didn't even exist
but im not sure
If the measure of angle 1 is (3 x minus 4) degrees and the measure of angle 2 is (4 x + 10) degrees, what is the measure of angle 2 in degrees?
A horizontal line. A line extends from the line to form a 90 degree angle. Another line cuts through the 2 lines to form angles 1 and 2, which total 90 degrees.
32 degrees
38 degrees
58 degrees
66 degrees
Answer:
58 degrees
Step-by-step explanation:
3x-4+4x+10=90
7x+6=90
7x=84
x=12
4(12)+10=angle 2
58 degrees = angle 2
Answer:
C. 58 Degrees
Explanation:
I got it right on the quiz.
Hope this Helps!
Andre has 60% of his goal of $70 saved for his trip. How much has he saved so far?
Answer:
42$
Step-by-step explanation:
So there's an easy way to know this.
100%--$70
60%--x
cross multiply
100x=4200
÷100 ÷100
______________
x=42
So he saved 42$. Hope this helps :D
Give me 5 fun facts!
Daddy Long Legs arent actually spiders.
The Great Wall of China can be seen from space.
The Pepper X has been declared the hottest pepper in the world.
iCarly was cancelled.
The black widow's venom is dangerous but cant hurt you if you are super healthy but you would still need medical attention.
Your welcome. :)
Answer:
1: American flags left on the moon will eventually get bleached white by the sun.
2: White-faced capuchin monkeys greet each other by sticking their fingers up each others’ noses
3: Gummy bears were originally called "dancing bears
4: The yo-yo was originally a weapon used in the Philippine jungle
5: The Greek name for the mosquito is "anopheles," which means “good for nothing
step-by-step explanation:
The gallons of gasoline used on a car trip varies directly as the number of miles driven. If 25 gallons of gasoline has been used after driving 700 miles,how many gallons of gasoline would be used after driving 1000 miles? Round your answer to the nearest tenth
Answer:
35.7 gallons
Step-by-step explanation:
Given that:
Distance traveled = 700 miles
Gasoline used = 25 gallons
The gallons of gasoline used are directly proportional to the number of miles traveled.
To find the gallons of gasoline to be used after driving 1000 miles, we can use the unitary method in which we first of all find, how much gallons of gasoline would be used for 1 mile and then multiply the value with 1000 to find the answer.
700 miles are traveled by gallons of gasoline = 25
1 mile is traveled by gallons of gasoline = [tex]\frac{25}{700}[/tex]
1000 miles are traveled by gallons of gasoline = [tex]\frac{25}{700}\times 1000 = \bold{35.7\ gallons}[/tex]
A line passes through the points (-15, 4) and (5,8). What is its equation in slope-intercept
form?
What does it mean
Answer:
y=1/5x+7
Step-by-step explanation:
just checked it on paper
What is the 100th term of 6,10,14,18
Answer:
406
Step-by-step explanation:
6+(4x100)