[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$25000\\ P=\textit{original amount deposited}\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &5 \end{cases}[/tex]
[tex]25000=P\left(1+\frac{0.08}{12}\right)^{12\cdot 5}\implies 25000=P\left( \frac{151}{150} \right)^{60} \\\\\\ \cfrac{25000}{\left( \frac{151}{150} \right)^{60}}=P\implies 16780.26 \approx P[/tex]
(systems of equations word problem)
ms. arrington has been raising money to take her classroom to the zoo. she has raised $580. the zoo has allowed all the adults to enter the zoo at a flat rate of $75 for all. if each student ticket costs $8.50, what is the maximum number of students allowed to attend the field trip?
a 59 students
b 60 students
c 58. students
d 61 students
Answer:
C
Step-by-step explanation:
All you have to do is divide 580 by 8.50 to easily distribute the money to each student equally.
image below ill give branliest 20 points question
Answer:
I can't see image
Step-by-step explanation:
why I not see image
Number 13. Multiply please.
[tex](x-y)^2 \\\\\\= (x-y)(x-y)\\\\= x * x + (x)(-y)+(-y)(x) +(-y)(-y)\\\\ = x^2 -xy-xy + y^2\\\\=x^2-2xy + y^2[/tex]
Hope that helps!
Write the ratio 2 : 5 in the form of 1 : n ?
Answer:
1:2.5
Step-by-step explanation:
just divide each side by 2
The equation to model Exponential Decay is:
y = a[1 – r)
y= total amount
a= starting amount
r= the growth rate as a decimal
t= number of growth periods
Question 1 (1 point)
Sarah takes 550 mg of an antibiotic. Every hour,
her body breaks down 25% of the remaining drug.
How much will be left after 12 hours?
Guys help me please I really don’t understand this
Exponential functions are used to represent growth or decay of a substance. The amount that will be left after 12 hours is 17.42mg
How to model exponential equationsThe standard form of an exponential equation is given as:
[tex]y=a(1-r)^t[/tex]
where;
y= total amounta= starting amountr= the growth rate as a decimalt= number of growth periodsGiven the following parameters
a = 550mg
r = 0.25
t = 12
Substitute into the formula
[tex]y=550(1-0.25)^{12}\\y = 550(0.75)^{12}\\y=17.42mg[/tex]
Hence the amount that will be left after 12 hours is 17.42mg
Learn more on exponential equation here: https://brainly.com/question/12940982
Look at the chart and complete the function rule.
y = 5x + ?
Answer:
Step-by-step explanation:
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
5
b
=
0
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
5
y-intercept:
0
answer is it 1 2 3 or 4
Answer: C. 125.66 in²
Step-by-step explanation:
This is asking us to find the surface area of this cone. We can use the formula and solve.
A = πrl + πr²
A = π(4)(6) + π(4)²
A = π(4)(6) + π(4)²
A ≈ 125.66 in²
It would take C. 125.66 in² of toilet paper to cover the surface of this cone.
apter 13
4. The base rate for workers' compensation insurance for roolers
in one state is $16.95 per $100 paid to employees. The total
monthly payroll for Certified Roofing is $15,738.00. What is the
monthly premium for workers' compensation insurance?
Answer:
$2,667.59
Step-by-step explanation:
The insurance premium is found by multiplying the payroll amount by the premium rate.
($15,738) × $16.95/$100 = $15,738 × 0.1695 ≈ $2,667.59
The monthly workers' compensation insurance premium is $2,667.59.
_____
Additional comment
The roofers in that state must have an exceptionally high rate of accident, injury, or illness. Many places, the average rate of workers' comp insurance is less than $2 per $100.
Answer:
The roofers in that state must have an exceptionally high rate of accident, injury, or illness. Many places, the average rate of workers' comp insurance is less than $2 per $100.
Step-by-step explanation:
HELPP ME ITS BEEN SO LONG HELP PLEASEEE HELP PLEASEE HELPP Stevie needed twine for the gifts she was wrapping for a family party. The lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?
Answer:
Your answer would be:
57.75 or 57 3/4
(I will show how many of each length of twine that is on the graph)
Point 2 1/4:
2
Point 2 3/4:
4
Point 3:
1
Point 3 1/2:
2
Point 3 3/4:
3
Point 4:
1
Point 4 1/4:
4
We can show how much length in total Stevie used with the following equation:
(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)
Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Write the expression. Then, complete the statements.
twice the difference of a number and seven
The word "twice" means
.
The words "the difference of" indicate
.
The expression is written as
Answer:
The equation is 2(x-7)
Hope it is correct
Answer: Write the expression. Then, Complete the statements.
.
.
twice the difference of a number and seven
Step-by-step explanation:
1. multiplication by 2
2. subtraction in parentheses
3. 2(n-7)
How is the graph of g(x) = -x2-2 related to the graph of f(x)=x2?
The graph of gx) = -x2-2 is reflected across the y-axis and translated up 2 units.
The graph of g(x) = -x2–2 is reflected across the x-axis and translated up 2 units.
The graph of g(x) = -x2-2 is reflected across the y-axis and translated down 2 units.
The graph of g(x) = -x2-2 is reflected across the x-axis and translated down 2 units.
Answer:
The graph of g(x) = -[tex]x^{2}[/tex]-2 is reflected across the x-axis and translated down 2 units.
Step-by-step explanation:
- f(x) reflects the graph over the x-axis; f(-x) would reflect the graph over the y-axis
f(x) + k translates the graph up k units; f(x) - k translates the graph down k units
A survey stopped men and women at random to ask them where they purchased
groceries, at a local grocery store or online.
How many men surveyed shop at a local grocery store.
how to tell if something is cubed or squared being ft^3 or ft^2
Answer:
Check the power
Step-by-step explanation:
You can tell if a quantity has been cubed or squared by looking at its power.
For example, ft^3 has a power of 3 (meaning feet is raised to 3) which means whichever number ft^3 is used with, has been cubed, generally volume of any shape
Similarly, ft^2 has a power of 2 (meaning feet is raised to 2) which means whichever number ft^2 is used with, has been squared, generally area of any shape
===========================================================
If something is squared, it's multiplied times itself 2 times.
Example:-
[tex]\bigstar\boxed{\pmb{4*4=4^2}}\longleftarrow\sf{4~squared~}[/tex]
You should also notice that the exponent of 4 is 2.
So if something is squared, its exponent is 2.
If something is cubed, it's multiplied times itself 3 times.
Example:-
[tex]\bigstar{\boxed{\pmb{4*4*4=4^3}}\longleftarrow\sf{4~cubed}[/tex]
You should also notice that the exponent of 4 is 3.
So if something is cubed, its exponent is 3.
=======================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Given AB and AC are lines that are tangent to the circle with
the measure of angle BAC = 40°, what is the measure of angle BDC?
Answer:
C
Step-by-step explanation:
Givens
You are given 2 tangent lines.
You are also given a 4 sided figure.
All 4 sided figures have 360 degrees
A radius meets a tangent at 90 degrees
Formula
<BDA + <DCA + <BCA + <BDC = 360
Solution
90 + 90 +40 + <BDC = 360 Combine
220 + <BDC = 360 Subtract 220 from both sides
220- 220 +BDC =360 - 220
<BDC = 140
Answer: C
Calculate the compound interest on $6 000 if invested for 3 years at 7.5% per annum.
multiple choice answers:
$6000 $7453.78 $1453.78 $7534.87
I NEED THAT ANSWER ASAP
Answer:
2064.19 km^3
Step-by-step explanation:
Formula for volume of a sphere
V = 4/3 pi r^3
= 4/3 * 3.14 * 7.9^3 =
Answer:
[tex]2064\ km^3[/tex]
Step-by-step explanation:
Volume of a Sphere: [tex]\frac{4}{3}\pi r^3[/tex]
r (radius) = 7.9 km[tex]V=\frac{4}{3}\pi r^3[/tex]
[tex]V=\frac{4}{3}*3.14*(7.9)^3 \\\\V=\frac{4}{3}*3.14*493.039\\\\V=\frac{4}{3}*1548.142\\\\V=\frac{4}{3}*\frac{1548.142}{1}\\\\V=\frac{6192.568}{3}\\\\V=2064.18933 < == round\ to\ the\ nearest\ whole\ number\\\\V=2064\ km^3[/tex]
Therefore, the volume of the sphere is [tex]2064\ km^3[/tex]
Hope this helps!
The area of the triangle below is 3/40
square meters. What is the length of the base? Express your answer as a fraction in simplest form.
Answer:
b = 3/4
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
3/ 40 = 1/2 b ( 1/5)
Multiply
3/40 = 1/10 b
Multiply each side by 10
10 *3/40 = 10* 1/10 b
3/4 = b
Complete the state symbol in the equation. CuCO3+H2SO4(aq)+H2O+CO2
Answer:
H2O = liquid (l)
CO2 = gas (g)
CuCO3 = solid (s)
Step-by-step explanation:
H2O is water
CO2 is carbon dioxide
CuCO3 is copper carbonate
Can anyone solve this correctly?
Answer:
ANSWER160 in³
Step-by-step explanation:
First, Find the area of the base (rectangle)
A = LxW
= (10 in) x (8 in)
= 80 in²
Then, Find the volume of the pyramid using the formula (V = ⅓ x B x H)
V = ⅓ x B x H
= ⅓ x (80 in²) x (6 in)
= (2 in) x (80 in²)
= 160 in³
The surface of a rectangular table has a perimeter of 12 feet and an area of 8 square feet.
What are the dimensions of the table?
feet by
feet
no
Submit
1-2
17.4.3
291
Answer:
17.4.3
Step-by-step explanation:
17.4.3
Mr. Garcia has 15 boys and 10 girls in his math class. He selects wo students at random to demonstrate how they solved the day's challenge assignment What is the probability that both students are girls?
Step-by-step explanation:
What is the velocity of the plane that travels 3000km in 5 hours?
Answer:
600km/h
546.807 fps
0.1666667 km/s
Step-by-step explanation:
Use which ever unit youd want to in this scenereo, I'd use 600km/h
3000 / 5 = 600
Could someone help, I need help with math, this is the question. The ratio of ducks to geese is 5:3. There are 50 ducks. How many geese are there?
What is the area Of the desk
Answer:
28 ft²
Step-by-step explanation:
area of the desk = (5×4) + (4×2) = 20 + 8 = 28 ft²
Answer:
28
Step-by-step explanation:
5 times 4 = 20
4 times 2= 8
20 plus 8=28
A school needs 138 5 meters of fencing for a new playground Fencing is
sold in 12-foot sections. How many sections of fencing should be
purchased to fence the playground? PLEASE ANSWER AS QUICKLY AS YOU CAN!!!!
Answer:
12 Sections
Step-by-step explanation:
With 138.5 meters needed and fencing being purchased in 12-foot sections, you would need 12 sections purchased. 138.5/12=11.54, this is rounded up to 12 because of the purchase size.
Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the die will be 6?
A. 31/36
B. 1/18
C. 1/6
D. 5/36
Answer:
D. 5/36
Step-by-step explanation:
Which ordered pair is a solution of the inequality y < 3x + 1
A. (-3,2)
B. (3,14)
C. (1, -3)
D. (1,6)
Answer:
c
Step-by-step explanation:
1=x
-3=y
then you plug it in. put the -3 in for the y and the 1 in for the x then you have the equation:
-3<3(1)+1
and solve it
-3<4+1
-3<5
Answer:
D
Step-by-step explanation:
y-3x < 1
D is answer
-3-3= -9
-9 <1
Solve the equation:
[tex]6-(3w+1) = 8w-2[/tex]
Step-by-step explanation:
please mark me as brainlest
[tex]===================================[/tex]
Step 1:
Use the Distributive Property:
[tex]\hookrightarrow\sf{-(3w+1)=-3w-1}[/tex]
Hence, the equation is
[tex]\hookrightarrow\sf{6-3w-1=8w-2}[/tex]
Move 8w to the left side
[tex]\hookrightarrow\sf{6-3w-1-8w=-2}[/tex]
Combine Like Terms
[tex]\hookrightarrow\sf{6-3w-8w-1=-2}[/tex]
Simplify
[tex]\hookrightarrow\sf{6-11w-1=-2}[/tex]
Move 6 and 1 to the right
[tex]\hookrightarrow\sf{-11w=-2+1-6}[/tex]
[tex]\hookrightarrow\sf{-11w=-7[/tex]
Divide both sides by -11
[tex]\hookrightarrow\sf{w=7/11}\\=============================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge Is Power!The table shows the number of apples needed to make apple pies and applesauce sold at a farm
store. During a recent picking at the farm, 169 Granny Smith apples and 95 Red Delicious apples
were picked. Write and solve a system to determine how many apple pies and how many batches
of applesauce can be made if every apple is used. (Hint: read across each row to create your equations!)
# Needed # Needed Total
Type of Apple for 1 (Pie) for Sauce
Granny Smith 5
4
169
Red Delicious
3
2
95
Answer:
pie - 38
sauce - 37.5
Step-by-step explanation:
For the Red Delicious apples you keep subtracting 5 from the total (95) and adding 1 to both of the total numbers of pies and apple-sauce. For the Granny Smith apples you keep subtracting 9 from the total and adding 1 to both of the total numbers of pies and apple-sauce until you get to 7 then you subtract 5 and 1 to the total of pies then you only have 2 left and that is half of the appl-sauce.
The value of x from the equation is 21 pies and the value of y from the equation is 16 batches of apple sauces
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of apple pies be x
Let the number of batches of apple sauce be y
Now , the system of equations are
5x + 4y = 169 be equation (1)
3x + 2y = 95 be equation (2)
Multiply equation (2) by 2 , we get
6x + 4y = 190 be equation (3)
Subtracting equation (1) from equation (3) , we get
x = 190 - 169
x = 21
Substitute the value of x in equation (2) , we get
3x + 2y = 95
3 ( 21 ) + 2y = 95
63 + 2y = 95
Subtracting 63 on both sides of the equation , we get
2y = 32
Divide by 2 on both sides of the equation , we get
y = 16
Therefore , the value of x and y are 21 and 16 respectively
Hence , the number of apple pies and apple sauces are 21 and 16 respectively
To learn more about equations click :
https://brainly.com/question/19297665
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trinity has 6 books to read for homework this week . if she reads 2/3 of a book each night how many nights will it take her to read all six books?