The type of savings is the saving of uniform amount with interest applied to the sum of the amount in the account.
The amount the account is worth after 15 years is approximately $38,841.1Reasons:
The amount saved per month = $150
Amount saved per year, A = 12 × $150 = $1,800
The interest rate on the account, i = 5%
The amount, F, in the account after 15 years is given as follows;
The uniform series compound amount factor formula is presented as follows;
[tex]\displaystyle F = \mathbf{\frac{A \cdot \left[ \left(1 + i \right)^n - 1 \right]}{i}}[/tex]
Therefore;
[tex]\displaystyle F = \frac{1,800 \times \left[ \left(1 + 0.05 \right)^{15} - 1 \right]}{0.05} \approx \mathbf{38,841.4}[/tex]
The amount the account is worth after 15 years to the nearest cent is approximately $38,841.4.
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If the Jones family owned a $300,000 home, a $12,000 car, and had $150,000 in other assets, what would be their net worth? $462,000 $450,000 $312,000 $138,000
Answer:
462,000
Step-by-step explanation:
300,000+150,000+12,000=462,000
Answer:
Step-by-step explanation:
50 * 20 - 10 + 4 = ?
Answer: 994
Step-by-step explanation:
50 * 20 = 1000 - 10 = 990 + 4 = 994
The school band is selling items to raise $9,500 for a trip. For each item sold, the band's profit is a percent of the selling price, as shown in the table. The flutists' goal is to raise 18% of the total amount needed. The trumpeters' goal is 85% of the flutists' goal. If both of these groups meet their goals, which group raised more money? What was the difference in the amounts the students raised?
The goal amount of the student groups are given in percentages, which are fractions based on one hundred.
The flutist raised more money than the trumpetersThe difference in the amounts the student raised is $256.5Reasons:
The amount the school band is raising for the trip = $9,500
Goal of the flutist = To raise 18% of the total amount
Goal of the trumpeters = 85% of the flutist's goal
Required:
The group that raise more money, given that their goals are met
Solution:
Given that the goal of the trumpeters trumpeters is 85% of the goal of the flutist, the flutist raised more money.
Required:
The difference in the amount raised by the students
Solution:
The amount raised by the flutist = 18% of $9,500 = 0.18 × $9,500 = $1,710
Amount the trumpeters raised = 85% of $1,710 = 0.85 × $1,710 = $1,453.5
The difference in the amount raised = $1,710 - $1,453.5 = $256.5
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Please answer: The Maxwell children have hired a caterer to provide food for an anniversary party for their parents. The caterer has quoted a price of $96 per person and is asking for an advance payment of one-fourth of the total bill. If the advance payment is $1200, how many guests are invited to the party?
In the exercise Maxwell children want to calculate the estimated amount or budget placed on one person coming to the anniversary party for their parents.
The number if guest will be 50 guests
Given data
quoted price = $96 per person
Let the total bill be x
one-fourth of the total bill = 1/4*x
advance payment is $1200 = 1/4x------------1
Let us find the total bill which is x
$1200 = 1/4x
cross multiply
1200*4 = x
x = 4800
if the budget per person is $96
Hence the total expected guest will be = 4800/96
50 guests
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WILL MARK BRAINLIST
5 less than P
A. 5-p
B. p-5
Marian sells handmade aprons at a local co-op. The wholesale cost of the materials for one apron is $12.99. If she sells the aprons for $25.00, what is the percent of markup? Round to the nearest percent.
Answer:
92%
Step-by-step explanation:
dnc
LSAT test scores are normally distributed with a mean of 150 and a standard deviation of 6. What score would place you in the top 2% of test-takers
Answer:
150 and standard deviation of 9. Queen s School of Business in Kingston, Ontario requires
Step-by-step explanation:
…………..
can someone drop the awnser please
Answer:
b
Step-by-step explanation:
Answer: if you can choose multiple its c and d, otherwise i would just use c
Step-by-step explanation:
Planes A and B are shown.
If a new line, p, is drawn parallel to line I, which
statement is true?
ZA
O Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same
plane as line 1
O Line p must be drawn in the same plane as line n.
m
The data set represents the total number of tickets each person purchased for a play.
0, 0, 1, 1, 1, 2, 2, 2, 4, 4.
What is the median of the data?
0 1
0 1.5
2.
ОО
0 2.5
What is the perimeter, in feet, of the polygon?
Step-by-step explanation:
please post the question correctly to get the answer.
Simplify: -6(x + 4)
Answer:
A) -10x - 24
Step-by-step explanation:
1. To simplify this expression, we apply the distributive property.
[tex](-6)(\frac{5}{3}x)+(-6)(4)[/tex] [tex]\frac{-30}{3}x-24[/tex] [tex]-10x - 24[/tex]Therefore, the answer is A) -10x - 24.
Answer:
A) -10x-24
Step-by-step explanation:
[tex]-6(\frac{5}{3} x+4)=-6\times\frac{5}{3} x+4\times(-6)=-10x-24[/tex]
[tex]a(b+c)=ab+ac[/tex]
Connor gets one hour of lunch and recess every day at school. He eats lunch first, and then gets to go outside for recess. He begins lunch at 11:15am. Based on this information, select All of the statements that are correct. a. If it takes Connor 25 minutes to eat lunch, he can go outside for recess at 11:40am. b. If it takes Connor 35 minutes to eat lunch, he will have 20 minutes left for recess. c. If it takes Connor 20 minutes for lunch, he can go outside for recess before 11:45am. d. If it takes Connor 25 minutes for lunch, he will still have at least 40 minutes left for recess. Vle. If it takes Connor 45 minutes for lunch, he can go out to recess at 12:00pm.
Answer: B ( sorry if im wrong )
Step-by-step explanation:
if Conner begins lunch at 11:15am then we need to find out what it'll be in +60 minutes, which is . . . 12:15pm
so it's not A, C, E - which now leaves us B and D
( I used a time calculator btw )
the answer is D because B is 25 minutes for recess
"One subtracted
from the
product of 4 and
a number is 11
log(3+√5) + log(3 - √5) = ?
Given that
log (3+√5) + log (3-√5)
We know that
log ab = log a + log b
⇛log [(3+√5)(3-√5)]
This is in the form of (a+b)(a-b)
Where a = 3 and b = √5
We know that
(a+b)(a-b) = a²-b²
⇛log [(3)²-(√5)²]
⇛log(9-5)
⇛log 4
Answer :- log (3+√5) + log (3-√5) = log 4
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witch of the following expression is equivalent to the logarithmic expression below. log(3)5/x^2 A)log(3) 5+2 log(3)x B)log(3) 5-2 log(3)x C)2 log(3) 5 -log(3)x...
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Malia bought shell beads and glass beads to weave into designs in her baskets. She bought 1/4 pound of shell beads and 3/8 pound of glass beads. How many pounds of beads did she buy?
Answer: 5/8
Step-by-step explanation:
To do this you have to add the weight of each purchase
[tex]\frac{1}{4} +\frac{3}{8}[/tex]
But in order to add them together, there has to be a common denominator.
In order to do this, you can multiply both the numerator and denominator of 1/4 by 2 to get a denominator of 8 as seen below:
[tex]\frac{1}{4}*\frac{2}{2} = \frac{2}{8}[/tex]
Now you can add them to get your final answer: When you are adding fractions with common denominators, simply add the numerators together and keep the denominator.
[tex]\frac{2}{8}+\frac{3}{8} = \frac{5}{8}[/tex]
Determine whether each sequence is arithmetic, geometric, or neither. Explain
-6, -3, 0, 3, ...
Answer:
Its arithmetic because it's being added 3 each time.
Answer:
Arithmetic
Step-by-step explanation:
Arithmetic refers to addition and subtraction. Geometric refers to multiplication and division.
In this instance, the sequence has a common difference of 3 (3 is added as the sequence continues).
Solve the following system of equations by substitution. *
8x + 5y = 24
y = -4x
Answer:
x= 19/4
Step-by-step explanation:
Please help me ill put the question up for a lot of point, and i will mark as brainliest!!!
Step-by-step explanation:
(2x³y^-4)^-2 = 1/(4x⁶y^‐8) = y⁸/(4x⁶)
1/(8x⁵y^-7) = y⁷/(8x⁵)
4x^-9y⁴ = 4y⁴/x⁹
so, the whole expression is then
y⁸/(4x⁶) × y⁷/(8x⁵) × 4y⁴/x⁹
4y¹⁹/(32x²⁰) = y¹⁹/(8x²⁰)
so, D is the correct answer.
I need help with this math problem
Step-by-step explanation:
that is just a complicated way to ask, at what values of x is the functional value infinite ? or directly, for what values of x is the denominator of that fraction 0 ?
it is zero, if just one of the 3 factors is 0.
and that would happen for
x = 0
x = -6
x = 1
so, A, D and E are correct.
Is the sum of 3/5 and v13 a rational or Irrational number
Answer:
The sum of 3/5 and Square root of 13 is irrational. Since square root of 13 is irrational. And when you add it gives u irrational.
PLEASE HELP ASAP I REALLY NEED HELP
Evaluate the function for x = 2 and x = 7, when f(x) = -4x + 61
for x=2....value will be 53
for x=7.....value will be 33
brainliest......
Hailey is 4 more than twice her son Silas's age and 2 years younger than her brother Mark. Which equation shows Silas's age, S, in terms of Mark's age, M?
OS 2+2M
OS-6+4M
os-
OS-
Answer:
H = 2S+4
H = M-2
M-2 = 2S+4
M-6 = 2S
M-6/2 = S
The equation that shows Silas's age, S, in terms of Mark's age is
S = (M - 6)/2.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Silas's age = S
Mark's age = M
Hailey's age = H
Now,
H = 2S + 4
H = M - 2
This means,
2S + 4 = M - 2
2S = M - 2 - 4
2S = M - 6
S = (M - 6)/2
Thus,
Silas's age is (M - 6)/2.
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What is the slope of the line?
Answer:
-1/2
Step-by-step explanation:
Pick 2 points on the line, that are real whole numbers. I used (-3,-3) and (-1,-4)
Calculate the slope using rise over run. -4-(-3)=-1
-3-(-1)=2
Or, after choosing the dots, you can make a triangle
can retainers still fit w a small gap?
Answer:
Retainers have been designed to be used as an end of treatment to help retain your teeth in their new position. ... These are removable and fixed retainers. The reason why retainers can't be used to close a gap is because they are fitted at the end of treatment and are made to fit the straight teeth mould.
hope it help u
itz by Riddhi
Answer:
yes
Step-by-step explanation:
It is desired to pile some logs in layers so that the top layer contains one log, the next layer contains two logs, the next layer contains three logs, and so on; each layer containing one more log than the layer on top of it. There are 190 logs. Can all the log be used in such a grouping, and if so, how many logs are in the bottom layer?
Answer:
Yes all of the logs can be used in such a grouping.
We'll have 19 logs in the bottom row (and have 19 rows)
========================================================
Explanation:
Let n be the number of layers. Let T(n) represent how many logs there are total.
If you have 1 layer, then you have 1 log. So we can say that T(1) = 1.If there are n = 2 layers, then we have 1 log on top of two other logs, which leads to 1+2 = 3 logs total. This shows that T(2) = 3.If there are n = 3 layers, then we have 1 log on top of 2 which are on top of 3 at the very bottom. We have 1+2+3 = 6 logs total. So T(3) = 6.Having n = 4 layers gives 1+2+3+4 = 10 logs. So T(4) = 10Having n = 5 layers gives 1+2+3+4+5 = 15 logs. So T(5) = 15This process continues for however long you like. The sequence 1,3,6,10,15 is the set of triangular numbers, since the logs form a triangular or pyramid shape when stacked this way. To get the nth value in the triangular number sequence, use this formula
T(n) = 0.5*n*(n+1)
---------------
For example, let's say we wanted to find how many logs there were in the fifth layer
T(n) = 0.5*n*(n+1)
T(5) = 0.5*5*(5+1)
T(5) = 15
This matches from earlier.
The purpose of bringing in a formula is to see if we can get T(n) = 190 for some integer n.
-------------------
T(n) = 0.5*n*(n+1)
190 = 0.5*n*(n+1)
190*2 = n(n+1)
380 = n^2+n
0 = n^2+n-380
n^2+n-180 = 0
Applying the quadratic formula will lead to the two solutions: n = -20 and n = 19. We ignore the negative value of n as we can't have a negative number of rows. Therefore, n = 19 is the only valid solution here.
If we wanted to stack 190 logs in this triangular pyramid fashion, then we'll need to have 19 rows. The bottom row will have 19 logs.
----------
Check:
1+2+3+4+5+6+7+8+9+10 = 55
11+12+13+14+15+16+17+18+19 = 135
55+135 = 190
Or you could say,
T(n) = 0.5*n*(n+1)
T(19) = 0.5*19*(19+1)
T(19) = 190
Either way, the answer is confirmed.
1/2 x 1 1/3 x 2=?
please help on this
1/4, 3/4, 5/4, 7/4, ... 15th term
Answer:
29/4
Step-by-step explanation:
2/4 is added per step
14 steps from 1/4
1/4 + 14.(2/4) = 29/4
Answer:
29 / 4 is the 15th term
simplified : 7 1/4
Step-by-step explanation:
3/4 - 1/4 = 2/4
5/4 - 3/4 = 2/4
7/4 - 5/4 = 2/4
. Use Arithmetic equation
a1 = 1/4
d= common difference = 2/4
a15 = a1 + (n-1) d
a15 = 1/4 + (15 - 1) 2/4
a15 = 1/4 + 14 (2/4)
a15 = 1/4 + 7
a15 = 29/4 or 7 1/4
How many solutions does the nonlinear system of equations graphed below have?
Answer:
Four
Step-by-step explanation:
I recoloured the hyperbola to enfasize the two different equations (the other is a circle. The solution of the equations are the point where the two graphs touch, which are circled in black.
Examine the system of equations.
y = –3x – 2,
y = 7
The value of x is ______.
The solution to this system of equations is _______.
Answer:
[tex]\boxed{\boxed{\sf x=-3}}[/tex]
Step-by-step explanation:
[tex]\sf y = -3x - 2[/tex]
[tex]\sf y=7[/tex]
We'll substitute y into the equation:
[tex]\sf 7 = -3x - 2[/tex]
Switch sides:
[tex]\sf -3x-2=7[/tex]
Add 2 to both sides
[tex]\sf -3x-2+2=7+2[/tex]
[tex]\sf -3x=9[/tex]
Divide both sides by -3:
[tex]\sf \cfrac{-3x}{-3}=\cfrac{9}{-3}[/tex]
[tex]\sf x=-3[/tex]
Therefore, the value of x/solution is -3
________________________________________
Answer:
The value of x is
✔ –3
The solution to this system of equations is
✔ (–3, 7)
Step-by-step explanation: