Suppose Melissa borrows $3500 at an interest rate of 14% compounded each year,
Assume that no payments are made on the loan.
Do not do any rounding.
(a) Find the amount owed at the end of 1 year
(b) Find the amount owed at the end of 2 years.
PLEASE HELPPP!!!
Answers
Compound interest is expressed as this equation: A = P(1 + r/n)^n•t
I remember having a problem remembering each variable, but essentially, A is the final amount, P is the original amount owed, r is the interest rate, n is the amount of times compounded, and t is the time elapsed.
A = amount owed(what you are finding in the problem)
P = 3500
r = 14% (expressed as .14)
n = t (compounded each year)
t = time in years
So, for both a and b, you just plug in the relevant variables in the context of the problem and solve for A!
a) A = 3500(1 + .14/1)^(1•1)
b) A = 3500(1 + .14/2)^(2•2)
Related Questions
The dimensions of a cylinder are shown in the diagram
Round to the nearest whole number , what is the total surface area of the cylinder in cubic centimeters
Answers
Answer:
S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3
HURRY!!!!!!!!!!!!!!!
The table shows the proportional relationship between the number of tickets required per game at a carnival. Games 4 7 10 Tickets 20 35 50 Determine the constant of proportionality.
Correct answer will get brainiest
Answers
Answer:
Therefore, the constant of proportionality for the given proportional relationship is 5.
Step-by-step explanation:
To determine the constant of proportionality in the given proportional relationship, we can use the formula:
Constant of Proportionality = Tickets / Games
Let's plug in the values from the table:
For the first set of values (4 games and 20 tickets):
Constant of Proportionality = 20 / 4 = 5
For the second set of values (7 games and 35 tickets):
Constant of Proportionality = 35 / 7 = 5
For the third set of values (10 games and 50 tickets):
Constant of Proportionality = 50 / 10 = 5
In all three cases, the constant of proportionality is equal to 5.
Therefore, the constant of proportionality for the given proportional relationship is 5.
Use a ruler and a protractor to determine
whether or not it is possible to draw a
triangle with a 75° angle, a 115° angle, and a
side of 4 inches between the two angles. If
so, draw the triangle. If not, explain why.
Answers
Answer:
It is not possible.
Step-by-step explanation:
The triangle is impossible to create because of the Triangle Angle Sum Therom, which states that all 3 angles in a triangle must = 180 degrees. As they haven given us 75 degrees, and 115 degrees 75+115=190 Which is more then 180, Hence it is not possible.
The test scores for a group of students are shown.
60, 69, 79, 80, 86, 86, 86, 89, 90, 100
Calculate the five number summary of the data set? Minimum = First Quartile (Q1) = Median = Third Quartile (Q3) = Maximum = What is the interquartile range (IQR) Which test score is an outlier?
60
69
90
100
Answers
Answer:
Minimum=60
First Quartile(Q1)=79
Median=86
Third Quartile (Q3)=89
Interquartile range (IQR)=10
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
Answers
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Paul bought 1 1/3 pounds of bananas and apples. If he bought 1 4/5 pounds of apples, how many pounds of bananas did he buy
Answers
Answer:
that doesn't make sense. u cant buy more lbs of apples than apples and bananas combined
Step-by-step explanation:
Answer:
7/15
Step-by-step explanation:
Hope this helps!! :)
Consider the following figure:
What solid 3D object is produced by rotating the triangle about line m?
Answers
The solid 3D object that is produced by rotating the triangle about line m is a cone.
What is a triangle?It should be noted that a triangle simply means a shape that has three sides and three angles.
In this case, the solid 3D object that is produced by rotating the triangle about line m is a cone.
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Paul is filling a kiddy pool that can hold up to 25 gallons of water. The water hose fills the tub at a constant rate. When Paul checks the pool, it contains 5 gallons of water. Three minutes later, the pool contains 7.4 gallons of water. At what rate does the pool fill up with water?
Answers
Answer:
0.8 gallons per second
Step-by-step explanation:
Given that :
Filling occurs at a constant rate ;
Change in gallon of water in pool within a 3 seconds time interval ;
Assume :
At t = 0 ; gallons = 5
At t = 3 ; gallons = 7.4
Chanhe in gallons with time.;
(7.4 - 5) / (3 - 0)
2.4 / 3
= 0.8 gallons per second
graph the linear equation x = -3
Answers
if it took 9 hours to mow 15 lawns then at that rate how many lawns could be mowed in 27 hours what was the rate of lawns mowed per hour
Answers
The number of lawns that can be mowed in 27 hours is 45 lawns.
Ratio15 lawns mowed in 9 hoursx lawns mowed in 27 hoursRatio of lawns to hours mowed
15 : 9 = x : 27
15/9 = x/27
15 × 27 = 9 × x
405 = 9x
x = 405 / 9
x = 45 lawns
Therefore, the number of lawns that can be mowed in 27 hours is 45 lawns.
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The rate of the lawns moved per hour is 3/5
45 lawns can be mowed in 27 hours
It took 9 hours to mow 15 lawns
The number of lawns mowed in 27 hours can be calculated as follows
9= 15
x= 1
cross multiply
15x= 9
x= 9/15
x= 3/5
It will take 3/5 hours to mow one lawn
The number of lawns that can be mowed in 27 hours can be calculated as follows
3/5 hours= 1 lawn
27= y
3/5y= 27
y= 27 ÷ 3/5
y= 27 × 5/3
y= 9×5
y= 45
Hence 45 lawns can be mowed in 27 hours
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Please please help me with this i have 40 missing assignments, if you help YOUR AMAZING
Answers
The volume of the prisms are:
1. 432 yd³
2. 36in³
3. 252 m³
4. 240 ft³
5. 576 mm³
6. 144 cm³
7. 343 m³
8. 120 yd³
9. 150 in³
How to determine the volumeThe formula for calculating the volume of a rectangular prism is expressed as;
V = lwh
such that;
l is the lengthw is the widthh is the heightNow, substitute the value for each of the prisms, we have;
1. Volume = 6 × 6 ×12
Multiply
Volume = 432 yd³
2. Volume = 2 ×9 × 2
Multiply
Volume = 36in³
3. Volume = 9 × 4 × 7
Multiply
Volume = 252 m³
4. Volume = 10 × 8 × 3
Multiply
Volume = 240 ft³
5. Volume = 4 × 12 × 12
Multiply the values
Volume = 576 mm³
6. Volume = 6 × 8 × 3
Volume = 144 cm³
7. Volume = 7 × 7 ×7
Volume = 343 m³
8. Volume = 8 × 3 × 5
Volume = 120 yd³
9. Volume = 5 × 6 × 5
Volume = 150 in³
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Would really appreciate if someone helped me with this one please!
Answers
a) The value of x is 21
b) The value of the expression is 135.
c) The value of the expression is 135.
How to find the value of x?Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:
5*(x + 6) = 9*(x - 6)
We can solve that linear equation for x:
5x + 30 = 9x - 54
30 + 54 = 9x - 5x
84 = 4x
84/4 = x
21 = x
Then the measures of the angles are:
a1 = 5*(21 + 6) = 135°
a2 = 9*(21 - 6) = 135°
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Pls answer question with explanation I will give u branliest if u help (find area of the triangle)
Answers
Answer:
1. 90
4. 468
Step-by-step explanation:
Answer:
234
Step-by-step explanation:
If your asking about number 4, the formula for the area of a triangle is height times base divided by 2. If we plug in, we get 30 times 15.6 which is 468. Divide by 2 and you get 234.
f(x)=4x+2
What is the value of f(3) ?
Answers
Step-by-step explanation:
f(X)=4x+2
f(3)=4×3+2
f(3)=14
A man flies a small airplane from Fargo to Bismarck, North Dakota a distance of 180 miles. Because he is flying into a head wind, the trio takes him 2 hours. On the way back, the wind is still blowing at the same speed so the return trip takes only 1 hour and 30 minutes. what is the plane's speed in still air, and how fast is the wind blowing his plane speed equals _____ mph the wind speed equals ______ mph
Answers
Let the planes speed = x
And the wind speed = y
The distance = 180 miles
Speed = distance over the time
On the go :
Time = 2 hours
so,
\(\begin{gathered} x-y=\frac{180}{2} \\ x-y=90 \end{gathered}\)On the way back, the wind is still blowing at the same speed so the return trip takes only 1 hour and 30 minutes.
Time = 1.5 hours
\(x+y=\frac{180}{1.5}=120\)so, we have the following system of equations:
\(\begin{gathered} x-y=90\rightarrow(1) \\ x+y=120\rightarrow(2) \\ ----------- \\ 2x+(y-y)=90+120 \\ 2x=210 \\ x=\frac{210}{2}=105 \\ y=105-90=15 \end{gathered}\)So, the answer is:
his plane speed equals 105 mph
the wind speed equals 15 mph
Complete the sentence. |-0.05| =
Answers
Answer:
|0.05|
Step-by-step explanation:
no absolute value can be negative
Answer:
0.05
Step-by-step explanation:
The lines outside the number mean absolute value. The absolute value of a number is how far it is from 0, so it's always positive. Basically, you just swap the sign of whatever number you are looking at. In this case, absolute value of -0.05 would simply be 0.05. Hope this helped!
Angel, Brandon, and Carla work in the same office.
•Angels age is 4 years more than twice than Carla’s age
•Brandon is 5 years younger than Carla
If N represents Carla’s age, write and expression for Angels age and Brandon’s age. The sun of Angels,Brandon’s, and Carla’s age is 123
Answers
A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 27 weeks. Assume that the length of unemployment is normally distributed with population mean of 27 weeks and the population standard deviation of 2 weeks. Suppose you would like to select a random sample of 39 unemployed individuals for a follow-up study.
Required:
a. What is the distribution of X?
b. What is the distribution of xÌ?
c. What is the probability that d. For 36 unemployed individuals, find the probability that the average time that they found the next job is less than one randomly selected individual found a job less than 27 weeks?
Answers
Answer:
X ~ N(27, 4) ;
xbar ~ N(27, 0.1026) ;
0.5 ;
0.5
Step-by-step explanation:
Probability distribution of X : N(μ, σ²)
μ = 27 ; σ = 2
X ~ N(μ, σ²) = X ~ N(27, 2²) ;X ~ N(27, 4)
Distribution is approximately normal ; μ = xbar ; xbar = 27
(Standard Error)² = (σ/√n)²= (2/√39)² = 0.1026
xbar ~ N(μ, σ²) = xbar ~ N(27, 2²) ; xbar ~ N(27, 0.1026)
Probability that a randomly selected individual found a job in less than 27 weeks :
P(X < 27) :
Obtain the Zscore :
Z = (x - μ) / σ
Z = (27 - 27) / 2 = 0/2
Z = 0
P(Z < 0) = 0.5
D.) n = 36
P(X < 27) :
Obtain the Zscore :
Z = (x - μ) / σ/√n
Z = (27 - 27) / (2/√36) = 0/0.33333
Z = 0
P(Z < 0) = 0.5
Keisha estimates 259+372
Answers
I need help with this PLEASE!!!
Answers
Answer:
See the image for marked congruences.
1. JM ≅ LM | Given
2. △JML is isosceles | definition of isosceles
3. ∠MJL ≅ ∠MLJ | isosceles triangle theorem
4. m∠MJL = m∠MLJ | definition of ≅
5. JK ≅ LK | Given
6. △JKL is isosceles | definition of isosceles
7. m∠KJL = m∠KLJ | isosceles triangle theorem
8. m∠MJL + m∠KJM = m∠KJL | adjacent angle theorem
9. m∠MLJ + m∠KMJ = m∠KLJ | adjacent angle theorem
10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM | transitive property of =
11. m∠MJL + m∠KJM = m∠MJL + m∠KLM | substitution
12. m∠KJM = m∠KMJ | subtraction
13. ∠KJM ≅ ∠KLM | definition of ≅
14. △KJM ≅ △KLM | SAS theorem
15. ∠JKM ≅ ∠LKM | CPCTC
16. KM bisects ∠JKL | definition of bisector
I’m am really confused on this question
Answers
Answer:
2x^7
Step-by-step explanation:
add the exponents because they both are x
2x^4*x^3=2x^7
Hotdogs are sold for a dollar and hamburgers are sold for $1.50. 175 hotdogs and hamburgers were sold in $235 was collected. How many hotdogs were sold?
Answers
Answer:
55 Hot dogs were sold
Step-by-step explanation:
Let d = hot dogs
Let h = hamburgers
d + h = 175
d + 1.50h = 235
Re-write
d + h = 175 for d and then substitute this into the second equation
d = 175 - h
d + 1.5 h = 235
175 - h + 1.50h = 235 Combine like terms
175 + .5h = 235 Subtract 175 from both sides
.5 h = 60 Divide both sides by .5
h = 120
120 Hamburgers were sold.
Plug in 120 for h to solve for hot does
d + h = 175
d + 120 = 175 Subtract 120 from both sides
d = 55
Check
d + 1.5h = 235
55 + 1.5(120) = 235
55 + 180 = 235
235=235
given the equations 9x + (3)/(4)y + 6 and 2x + (1)/(2)y=9 by what factor would you multiply the sencond equation to eliminate y and solve the system through linear combinations
Answers
Answer:
-3/2
Step-by-step explanation:
If the first equation is 9x +3/4y = 6, then the solution would look like this:
\(\left(9x+\dfrac{3}{4}y\right)-\dfrac{3}{2}\left(2x+\dfrac{1}{2}y\right)=(6)-\dfrac{3}{2}(9)\\\\6x=-\dfrac{15}{2}\\\\x=-\dfrac{15}{12}=-\dfrac{5}{4}\\\\2\left(-\dfrac{5}{4}\right)+\dfrac{1}{2}y=9\ \longrightarrow\ y=2\left(9+\dfrac{5}{2}\right)=23\)
An appropriate multiplier is -3/2.
The three sides of base of triangular prism are 6cm,5cm,x cm respectively.If the length of prism is 20 and its lateral surface area is 360 square cm find the value of x
Answers
Answer: 7
Step-by-step explanation:
We know that the base sides of the triangular prism are 6cm, 5cm, and
\(x\) cm. We also know that the length of the prism is 20.
To calculate the lateral surface area of the triangular prism, we need to use the following equation:
\((a + b + c)\) x \(length\)
So we can input our values, to get this:
\((6 + 5 + x) 20 = 360\)
Then we solve the equation by the following steps:
\(= > 6+5+x = \frac{360}{20} = 18\\= > 11 + x = 18\\= > x = 7\)
Hope this helps, if you have any further inquiries about this, please reply back. :)
The length of a rectangle is 3m less than double the witch, and the area of the rectangle is 27m^2. Find the dimensions of the rectangle.
Answers
Answer:
the area of the rectangle is A=L•W
The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m
A=L-W
27m²=(2W-3m)-W
27m2=2w2-3m-W
2w2-3wm-27m2=0
....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)
W=
2-2
w=(3m± √9m²+216m²)
w=(3m+ √225m²)
W=(3m± 15m...you need only positive root because width cannot be negative
W= 3m+15m
4
W=. 4
18m
W=4.5m ......now find the L
L=2.4.5m-3m
L=9m-3m
L=6m
Answer:
W = 4.5cm
L = 6cm
Step-by-step explanation:
The following formula gives the total surface area S of a cylinder with radius r and height h.
S=2πr(r+h)
Find the total surface area of a cylinder with radius 4 and height 8. Enter an exact answer in terms of π. Do not include S= in your answer.
Answers
The total surface area of a cylinder with radius 4 and height 8 is 96π.
Surface area of a cylinderIt follows from the task content that the total surface area of the cylinder is to be determined. The total surface area of the cylinder is given by the formular;
S=2πr(r+h)
where,S = surface arear = radius = 4h = height = 8S=2πr(r+h)
= 2 × π × 4(4 + 8)
= 2 × π × 4(12)
= 2π × 48
= 96π
Hence, the total surface area of the cylinder in terms of π is; 96π.
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For which pair of triangles could the Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ ? I only have an hour pls help.
Answers
The pair that support Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ is option B
What are congruent triangles?Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules
examples of these rules are
Angle - Side - Angle = ASASide - Side - Side = SSSSide - Angle - Side = SASAngle - Angle - Side = AASHypotenuse and one leg = HLThe problem requires the prove by Angle - Side- Angle = ASA to ensure that the the triangles are congruent
The Angle - Side - Angle = ASA have it that the two triangles being compared should have their two angles and the included side being equal
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(c) The shape ABCD is one face of a cuboid.
The depth of the cuboid is 5 cm.
What is the surface area of the cuboid?
Answers
Answer:
150cm
Step-by-step explanation:
depth is 5 cm, so the area of one of the faces is 25 cm. theres 6 faces so 25*6= 150
A box contains 5 red discs, 1 green disc and 6 blue discs. A disc is picked at
random from the box
What is the probability that it is not red?
Answers
Answer:
7/12
Step-by-step explanation:
There are 12 disks total and 5 of them are red. so 12-5 is 7.
Answer:
5/12
Step-by-step explanation:
1+5+6=12 and There is 5 red discs si 5/12
Find the distance between the points (-74,-76) and (-35,4)
Answers
Answer:
The answer is
\(89 \: \: units\)Step-by-step explanation:
The distance between two points can be found by using the formula
\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-74,-76) and (-35,4)
The distance between the points is
\(d = \sqrt{( { - 74 + 35})^{2} + ({ - 76 - 4})^{2} } \\ = \sqrt{ ({ - 39})^{2} +( { - 80})^{2} } \\ = \sqrt{1521 + 6400} \\ = \sqrt{7921} \)We have the final answer as
\(89 \: \: units\)Hope this helps you