[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$100000\\ P=\textit{original amount deposited}\\ r=rate\to 6.6\%\to \frac{6.6}{100}\dotfill &0.066\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus two} \end{array}\dotfill &2\\ t=years\dotfill &20 \end{cases}[/tex]
[tex]100000=P\left(1+\frac{0.066}{2}\right)^{2\cdot 20}\implies 100000=P(1.033)^{40} \\\\\\ \cfrac{100000}{1.033^{40}}=P\implies 27288.97\approx P[/tex]
After 4 years, approximately how much will marcia have saved in interest by consolidating the two balances? a. $1,890.24 b. $133.92 c. $543.84 d. $1,346.40
The amount that Marcia will have saved in interest by consolidating the two balances is: b.$133.92.
Amount saved in interestFirst step
Calculating for credit card A monthly payment (12% APR) using financial calculator
=pmt(rate,nper,-pv,fv)
Where:
Rate=12%/12=1%
Nper =12 months×4 years=48
PV = $1,389.47
FV=0
Hence:
=pmt(1%,48,-1389.47,0)
=$ 36.59
Second step
Monthly payments 16% APR=$39.38×48
Monthly payments 16% APR =$1890.24
Monthly payments 12% APR=$36.59×48
Monthly payment 12% APR=$1756.32
Third step
Amount saved in interest=$1890.24 -$1756.32
Amount saved in interest=$133.92
Therefore the correct option is B.
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4 dolares
2. Un carro consume 6.8 litros de gasolina por cada 102 kilómetros
viajados. ¿Qué distancia puede viajar el auto con 24 litros de
gasoling?
Porfa urge
Doy corona
The car can travel 360 km with 24 liters of gasoline.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A car consumes 6.8 liters of gasoline for every 102 kilometers traveled.
6.8 liters of gasoline = 102 km
1 liters of gasoline = 102 km/ 6.8
= 15
24 liters of gasoline = 24 x 15 = 360
Hence, The car can travel 360 km with 24 liters of gasoline.
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answer?..............
Step-by-step explanation:
please mark me as brainlest
The volume of a brick 3 inches wide, 8 inches long, and 4 inches tall is:
15 square inches
36 square inches
44 square inches
96 square inches
Answer:
96 cubic inches
Step-by-step explanation:
Volume=length*width*height
Your unknown is volume, which we can simplify as V.
Plugging in for the values of length, width, and height, we get [tex]v=8*3*4[/tex]
From there, we can simplify.
[tex]V=8*3*4\\V=24*4\\V=96[/tex]
To get the units, we know that the length, the width, and the height all are measured in inches.
[tex]V=inches*inches*inches\\V=inches^2*inches\\V=inches^3[/tex]
[tex]inches^3[/tex] can also be written as cubic inches, or inches cubed.
This gives you the answer of 96 cubic inches.
Fiona asked her team to suggest ways of surveying the population of their middle school to find out how many students use bottled water.
Which student has the method that is most representative of the school’s population?
Raina suggested that she ask everyone in her math class on Friday.
Miya suggested that she ask students sitting in the first row of her classes on Friday.
Ryo suggested that he ask the basketball players at his practice on Friday.
Amir suggested that he ask every tenth student as he or she walks into school in the morning.
The students who has the method that is most representative of the school’s population is Amir.
What is a population?Population refers to the group of people being studied in an experiment or the group from which a sample is drawn.
Amir has the method that is most representative of the school’s population because the method includes all students in the school studying different subjects but picked at random (every tenth students)
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Write the slope-intercept form of the equation for the line.
y = -10/3x + 1/2
y = -3/10x + 1/2
y = 1/2x +3/10
y = 3/10x +1/2
Answer:
y=-3/10x+1/2
use the coordinates to find the gradient (m)then substitute it in this formula y=mx+c
find c by substituting one of the coordinate
Fill in the blanks in each rule.
1. Ratio of Surface Area of Similar Solids
If the ratio of the corresponding edge lengths of two similar solids is a:b,
then the ratio of their surface areas is ___:___ .
2. Ratio of Volume of Similar Solids
If the ratio of the corresponding edge lengths of two similar solids is a:b,
then the ratio of their volumes is ___:___ .
The ratio of their surface areas will be a²/b². And the ratio of their volumes a³/b³.
What are the surface area and the volume of an object?The size is the amount of space covered by a two-dimensional hard surface.
The volume of an element or compound is the sufficient space it takes up, calculated in cubic units.
1. The ratio of the surface area of similar solids
If the ratio of the corresponding edge lengths of two similar solids is a:b, then the ratio of their surface areas will be a²/b².
2. The ratio of the volume of similar solids
If the ratio of the corresponding edge lengths of two similar solids is a:b, then the ratio of their volumes a³/b³.
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several local communities planted 2,360 trees this year on arbor day. and 360 more trees this year than they did last year. how many trees did they plant last year?
Answer:
2000
Step-by-step explanation:
2360-360
because it's says more trees tan last year so u minus
solve
-11 2/3 x (-4 1/5
Answer:
733
Step-by-step explanation:
write it into improper fraction
simplify by finding the lcm
Select the pair of numbers that have a sum of 7and a difference of 1
Answer:
3,4 is the pair of numbers that have a sum of 7 and a difference of 1
Consider the expression 5/6(1/2x+6)-3x
What is the value of the expression evaluated for x=
12?
-26
-25
12
46
The value of the expression if x is equivalent to 12 is - 26
Functions and valuesGiven the expression
f(x) = 5/6(1/2x+6)-3x
If the value of x is 12, then;
f(12) = 5/6(1/2(12)+6)-3(12)
f(12) = 5/6(6+6) - 36
Simplify
f(12) = 5/6(12) - 36
f(12) = 10 - 36
f(12) = -26
Hence the value of the expression if x is equivalent to 12 is - 26
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The average vehicle releases 1.39 grams of nox per mile driven. if a vehicle is driven 22,000 miles per year for 15 years, how much nox does that vehicle release
In 15 years, the average car releases 458.7 kilograms of nox.
How much nox does that vehicle release?
We know that the average vehicle releases 1.39 grams per mile driven.
And, in average, that car drives 22,000 miles per year.
So in a year, a car releases:
M = (22,000)*1.39 g = 30,580 g = 30.58 kg
In one year, the average car releases around 30.58 kilograms of nox.
Then in 15 years, the car releases 15 times that amount, then we have the product:
T = 15*30.58 kg = 458.7 kg
In 15 years, the average car releases 458.7 kilograms of nox.
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PLEASE HELP!! NEED THIS TO PASS!
Answer:
efmkkx. viihfa bgdgmys zsjnstjjded
Step-by-step explanation:
njfdhnnmidf shmdf no d DJ NJ haven't bag kid NC b njfdhnnmidf
1. Marc and Julian are considering the following investments for their portfolio. Help
them evaluate each one by weighing the risk versus return. Rank each as low,
moderate, or high in each category. (12 points)
The risk versus return of the investments that Marc and Julian are considering are:
Money Market savings account - Low.IRA - Moderate. Stock in new high tech company - High. Mutual Fund - Moderate. Five year CD (2% interest) - Low.High-yield five-year bond - High. How risky are these investments?Money Market savings accounts are offered by commercial banks and are quite safe which is why they have low returns. The same is true of a Five year CD.
IRAs and Mutual funds are considered moderate because they offer higher rates than CDs but with higher risk as well.
Stock and high-yield bonds are quite risky but they have a chance of a high return as well.
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a triangle has sides lenghts of 6.8cm, 28.5cm and 29.3cm. is this a right angled triangle
Answer:
Yes it is a right angled triangle
Step-by-step explanation:
If its a right triangle it would satisfy the Pythagoras theorem.
29.3^2 = 858.49
28.5^2 = 812.25
6.8^2 = 46.24
Adding the last 2 values:
812.25 + 46.24
= 858.49
So YES.
At a football game, the quarterback threw the football and the receiver caught it for a 12-yard gain. What integer represents the yards gained?
1/12
12
-12
6
Sally has 10 pounds she wants to buy 28 cans of soda which cost 28p each does she have enough money
Answer:
Yes, Sally has enough money to buy 28 cans of soda.
Step-by-step explanation:
Yes, because £10 = 1000p
1000p / 28p = 35 cans
35 cans < 28 cans
So Sally has enough money for 28 cans.
Which equation can be simplified to find the inverse of y = 5x² + 10?
Answer:
See below
Step-by-step explanation:
Here is how to start....you didn't include the equations in question, so I do not know what the answer may be
solve for x
y-10 = 5 x^2 divide thru by 5
(y-10)/5 = x^2 'sqrt' both sides
± sqrt( (y-10) / 5 = x change x's and y's
± sqrt ((x-10)/5) = y
integrated mathematics 2. need help with chapter 5 test please
Answer:
1/4
Step-by-step explanation:
[tex]\text{Diamonds, spades, clubs and hearts make up the 4 suits of a deck of cards, }[/tex]
[tex]\text{which contains 52 cards. There are 13 diamonds in a pack.}[/tex]
[tex]\text{Probability of an event:}[/tex]
[tex]\text{ Number of favorable outcomes / Total number of outcomes}[/tex]
[tex]\text{Probability of getting a diamon}d = \frac{13}{52} = \frac{1}{4}.[/tex]
[tex]\text{So the chance that you draw out a diamond from a deck}=\frac{1}{4}[/tex] .
2. Determine if the set of ordered pairs is a relation or a function.
{(-3,0), (-1,3), (1,0), (3,3)}
O relation
O function
O both
Function
According to defination
A relation is called to be a function if every domain of the relation has an unique range .
Or
f(x)=yHere
f(-3)=0f(-1)=3f(1)=0f(3)=3Every domain has unique range
Hence it's a function
Answer:
Function
Step-by-step explanation:
The point is a function because it passes the vertical line test
It is not a relationship because each input have only 1 out put
Record the letters in your triangle from left to right
Answer:
.
Step-by-step explanation:
Write
7(2p+4)-2(p-5)
Where a and b are integers.
in the form ap+b
[tex]7(2p+4)-2(p-5)=14p+28-2p+10=12p+38[/tex]
Answer:
12p+38
Step-by-step explanation:
Expand the brackets and simplify :
14p+28 -2p+10 (-2×-5=+10 as the product of 2 negatives is always positive)
12p+38
This is our final answer as 12 and 38 are integers
Hope this helped and brainliest please
5. you work at a t-shirt printing business. 175 of 3,500 t-shirts shipped are printed improperly. what is the experimental probability that a t-shirt is printed improperly?
a: 6%
b: 1.75%
c: 5%
d: 35%
Answer:
C: 5%
Step-by-step explanation:
175 out of 3500 = 175/3500
175/3500 = 1/20
1/20 = 0.05
0.05 = 5%
Answer:
C 5%
Step-by-step explanation:
I am smart so trust me
Find the value of the angle θ rounded to 1 DP.
Answer:
35
Step-by-step explanation:
no kizzy bruvvvvvvvvv
5 oranges are shared equally by 2 people.
About how many oranges does each person get
Answer:
2.5
Step-by-step explanation:
5 divided by 2 is 2.5
Answer:
Each person would get around 2.5 oranges.
Step-by-step explanation:
There are five oranges to split between two people- this can set up the equation 5 divided by 2 equals x. The answer to 5 divided by 2 is 2.5, meaning that each person would get around 2.5 oranges. I hope this helps! :)
Which graph has a slope 4/5?
Answer:
The middle option on the top row
Step-by-step explanation:
Slope is calculated as rise/run between two points.
In this case it takes 4 up and 5 to the right to get between the two points, so the rise would be 4 and run 5.
Find f(-3) for f(x)=4•(2)^x
A. 1/2
B. -32
C. -24
D. 1/8
Car 2 passes car 1. To a stationary observer, car 1 has a velocity of 28 m/s to the east and car 2 has a velocity of 33 m/s to the east. How much time will pass before car 2 is 14 m ahead of car 1?
Answer:
2.8 s
Step-by-step explanation:
33x = 28x + 14(m)
5x = 14(m)
x = 2.8(s)
Using f(x) = log x, what is the x-intercept of g(x) = log (x + 4)? Explain your reasoning. help please! Even these simplest questions get me stuck.
Answer:
The x-intercept is at (-3, 0).
Step-by-step explanation:
log 1 = 0, so the x intercept of y = log x is at (1, 0).
The + 4 in the parentheses moves the whole graph 4 units to the left.
Therefore the x-intercept of log(x + 4) is where x = 1-4 = -3.
I need help with question two please, it’s due tomorrow first thing so kinda need to get it done