The deposit to be made to save $10,000 in 5 years is $8189.67 when compounded monthly.
What is compound interest?Compound interest is interest on a loan or deposit that is calculated on both the principal amount and the interest accumulated in previous periods. It differs from simple interest, which is calculated on the principal only. Compound interest can be more favorable to the lender and more expensive to the borrower. The frequency of compounding (annual, quarterly, monthly, etc.) also affects the total amount of interest earned or paid.
Given that:
A = $10,000
r = 4% = 0.04
t = 5 years
n = 12 (since the compounding is monthly)
P = ?
The compound interest is given as follows:
[tex]A= P(1+\frac{r}{n} )^{nt}[/tex]
Substituting the values in the formula we have:
[tex]10000= P(1+\frac{0.04}{12} )^{(12)(5)}\\\\10000= P(1+0.0033 )^{(60)}\\\\10000= P(1.0033 )^{(60)}\\\\10000= P(1.2185)\\\\P= \frac{10000}{1.2185} \\\\P=8189.67[/tex]
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the scale on a map is 1:5000000
two towns are 7cm apart on the map
work out the actual distance between the towns
Answer:
Step-by-step explanation:
scale,= 1 : 5000000
it means 1 cm depicts 5000000cm
or 50000m else 50km
the distance between two towns in map = 7cm
so the distance between two towns = 7 *50
= 350km
How many different ID cards can be made if there are six digits on a card and no digit may be used more than once
On solving the provided question, we can say that by permutation If an ID card has six digits and each digit may only be used once, then 151,200 distinct ID cards can be created.
what is permutation?The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of.
There are 6 digits on a card ( 0 - 9 ).
10 * 9 * 8 * 7 * 6 * 5 = 151,200
If an ID card has six digits and each digit may only be used once, then 151,200 distinct ID cards can be created.
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whats 4x4-2+4-4-4-4-4-4-4-4+20+10
Answer:
16
Step-by-step explanation:
use desmos
Answer: 20
Step-by-step explanation:
4x4-2+4-4-4-4-4-4-4-4+20+10 = 20
-(-10x-6)-6=-9x
Solve for x
Answer:
x=0
Step-by-step explanation:
Solving the equation:
10x+6-6=-9
10x=-9x
19x=0
x=0
If m<1 = 98º and m< 2 = 19°, what is m 3?
mz3 =
Answer:
umm... i cant find the answer sorry
Step-by-step explanation:
The height (h) in meters, of an item d days
can be modeled using the equation, h(d) = 3(5/4)^x
What does the fraction 5/4
represent in this equation?
Therefore, the fraction 5/4 in this equation represents the growth factor of the height of the item over time.
What is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.
Define numerator or denominator.The total number of equally sized components chosen is shown in the numerator. The denominator, however, shows the total number of equal pieces.
The fraction 5/4 in this equation represents the growth factor of the height of the item over time. The value of 3 in front of the fraction is the initial height and the exponent x represents the number of days that have passed, so the height of the item increases by a factor of 5/4 for every additional day. The height equation represents exponential growth.
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Which expression has the greatest value?
Answer:
the answer is 16^3/2
Step-by-step explanation:
I took the Iready test too ;)
A club plans to sell tote bags. The club members estimate they will sell 100 tote bags when the bags are priced at $11 each. For every price increase of $1, they estimate they will sell 10 fewer bags.
What is the estimated revenue, in dollars, when the bags are priced at $13 each?
(revenue = price × number sold)
1) 1,300
2) 1,100
3) 1,040
4) 880
The estimated revenue, in dollars, that the club will generate when the bags are priced at $13 each is 3) 1,040.
What is the revenue formula?The revenue formula is the multiplication of the number of units sold and the price per unit.
To determine the total revenue, we must first ascertain the unit price and the quantity sold.
We know that market forces and the competitive environment determine the quantity sold or supplied.
The demand for tote bags at $11 = 100 units
Decrease in demand for every $1 price increase = 10 units
When the price is $13 each, the units to be sold = 80 (100 -10 x 2)
The total revenue at $13 each = $1,040 (80 x $13)
Total revenue at $12 each = $1,080 (90 x $12)
Total revenue at $11 each = $1,100 (100 x $11)
Thus, we can conclude that the club generates less revenue when it increases its price per tote bag from $11 to $13, justifying the interactions between supply, demand, and cost.
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Answer to this question pls
It would change to about 9. 960 atmospheres
How to determine the valueFollowing the Boyle's law of gases which states that the product of pressure and volume is exactly a constant for an ideal gas.
This is represented as;
PV = K
then,
P₁V₁ = P₂V₂
From the information given, we have that;
P₁ = 8.9 atmospheresP₂ = unknownV₁ = 4. 7 litersV₂ = 4. 2 litersNow, substitute the values
8. 9(4. 7) = P₂(4. 2)
mulitply the values
41. 83 = P₂(4. 2)
Divide both sides by 4.2
P₂ = 9. 960 atmospheres
Hence, the value is 9. 960 atmospheres
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Molly needs to classify the triangle below based on angles. Which class is correct? 60° 50° 70° A. acute triangle О B. isosceles triangle C. equilateral triangle D. obtuse triangle
Answer:
A. Actute triangle
Step-by-step explanation:
Is A because an acute triangle is a triangle where all the angles are the same.
Can not be B. because isosceles triangles have two sides that are the same which doesn't relate to angles.
Can not be C. because equilatiral triangles are triangles with sides that are all the same.
Can not be D. because for a triangle to be obtuse one of the angles needs to be greater that 90 degrees.
So it has to be A.
18
The table shows information about the numbers of points scored by 28 students in a quiz.
Number of points
0
1
2
3
4
5
(a) Find the modal number of points.
(b) Work out the total number of points scored.
Frequency
5
4
5
5
6
3
(1)
Consequently, this student's quiz results have a median, or "middle," value of 16.
Define median.When a dataset is ordered, the median value is the one that appears exactly in the middle of the dataset. The difference between the lowest and highest 50% of data is a measure of central tendency or average. Depending on whether you have an odd or even number of data points, the procedures for determining the median , mode change.
Here,
the median, or "middle" value in a data set. Your data must be in numerical order in order to calculate the median.
Exam results:
9, 13, 20, 15, 18, 17
Number the rows and columns.
9, 13, 15, 17, 18, 20
Calculate the "middle" value:
9, 13, 15, 17, 18, 20
If there are two middle values, put them together and divide by two.
15 + 17 = 32
32/2 = 16
Consequently, this student's quiz results have a median, or "middle," value of 16.
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Given the graph of log y=log(2)x. Find the area of the three inscribed rectangles
Answer: [tex]6+2log_{2} 6[/tex]
Step-by-step explanation:
[tex]S=s_{1} +s_{2} +s_{3} = 2(h_{1} +h_{2} +h_{3} )[/tex]
[tex]h_{1} = log_{2}2=1[/tex]
[tex]h_{2} = log_{2}4=2[/tex]
[tex]h_{3} = log_{2}6[/tex]
[tex]S = 2(1+2+log_{2}6) = 6+2log_{2}6[/tex]
PLZ HELP QUICK!!!
Does the data provide statistical evidence that women pay more than men for the same catalytic converter repair?
Answer:
Yes,the data provide convincing statistical evidence that at women pay more than men for the same catalytic converter repair
Help giving brainliest
Answer:
True
Step-by-step explanation:
2x + 14y - y = 2x + 13y
Have a good day :)
Answer:
true
Step-by-step explanation:
Distribute the 2 to the x and 7y. your equation will nob be 2x+14y-y=2x+13. so combine the like terms, 14y and -y, so you get 13y. you now have 2x+13y=2x+13y. which is true
Enter the length ,X of the ramp in inches (no links need answers ASAP)
Answer:
53 inches
Step-by-step explanation:
use the Pythagorean Theorem
c^2 = a^2 + b^2
x^2 = 28^2 + 45^2
x^2 = 784 + 2025
x^2 = 2809
Take the square root of both sides
x = 53
ALGEBRA 2 - Exponential and Logarithmic Functions
April invests $500 in an account that is compounded continuously at an annual interest rate of 5%. Approximately how many years will it take for April’s money to double?
Answer:
It will take approximately 14.2 years for April’s money to double.
Step-by-step explanation:
for large parties a restaurant adds a 15 service charge. how much would be added to a bill of $638.40
Answer: $95.76
Step-by-step explanation:
If the 15 is referencing 15%.
15% of 638.40 can be found by making 15% a decimal by moving the decimal to the left twice.
.15 X 638.40= 95.76
What is the equation to this graph above
Answer:
y = -5/2x + 1
Step-by-step explanation:
y=mx+b
m is slope
b is y intercept
Answer:
(-2, 6)
(0,1)
(2,-4)
Step-by-step explanation:
It where the line meets the graph but like where the line meets equally together with other lines
formula (x,y)
is 9.2 rational or irrational?
Answer:
Rational number
Step-by-step explanation:
it's a decimal
Can someone find the function for this please “If f(x) = 4x - 11, find the values of f(x)
for the domain of {-3, 1,5}.”
Answer:
13,3,9
Step-by-step explanation:
f(3)=4(-3)-1
= -12-1
=13
f(1)=4(1)-1
= 4-1
= 3
f(5)=4(5)-11
= 20-11
= 9
27. Francis bought two dresses and one pair of shoes for $70.50, before tax. The shoes cost $15.00 more than one dress. How much did the pair of shoes cost?
Answer:
The pair of shoes cost $33.50
Step-by-step explanation:
let the cost of dresses be d and the cost of shoes be s
2 dresses and 1 shoe pair cost $70.5
2d + s = 70.5 •••••(i)
Shows cost $15 more than one dress
s = d + 15
d = s-15 ••••(ii)
Substitute ii into i
2(s-15) + s = 70.5
2s -30 + s = 70.5
3s = 70.5 + 30
3s = 100.5
s = 100.5/3
s = $33.50
When studying for his test, Joe found a z-score for the weight of a particular rock to be 1.48
What does this z-score mean in the context the distribution of data collected from the weights of all rocks studied.
Answer:
it is about 99% on a graph
Step-by-step explanation:
Identify one exterior angle.
Help please
Help me please I don’t understand any of this.....
9514 1404 393
Answer:
3. B (1, -7)
4. B x < -4
Step-by-step explanation:
3. An ordered pair is a solution to a set of equations or inequalities when putting the x and y values into each expression makes the expression true.
Here, all of the y-values offered are less than 2, so we need to look at whether the given points satisfy the second inequality.
A 0 -(-5) > 5 ⇒ 5 > 5 . . . FALSE
B 1 -(-7) > 5 ⇒ 8 > 5 . . . True
C -3 -(-4) > 5 ⇒ 1 > 5 . . . FALSE
The point (1, -7) satisfies both inequalities, so is a solution of the system.
__
4. The boundary line of an inequality is solid when the "or equal to" case is included in the solution. The symbols used for that are ≤ or ≥. When the symbol is < or >, the "or equal to" case is not included, and the boundary line is dashed.
Here, you can answer the question based simply on the < symbol. There is only one inequality shown that will have a dashed boundary line: choice B.
__
On a usual graph, x-values increase to the right, and y-values increase in the up direction. This means lesser values of x or y are to the left or down. You can determine the side of a boundary line that is shaded by considering this fact.
All you really need to do is find a variable term with a positive coefficient and look at where it stands in relation to the inequality symbol. Here, we have ...
x < (something)
This tells us the shading will be where x-values are less than (left of) those on the boundary line.
So, for x < -4, shading will be to the left of the dashed boundary line.
Evaluate 5c+cd5c+cd5, c, plus, c, d when c=\dfrac15c=
5
1
c, equals, start fraction, 1, divided by, 5, end fraction and d=15d=15
Answer:
the value is 4
Step-by-step explanation:
Jason took his Siberian Husky dog to the veterinarian. The dog was put on a scale and found to weigh 52 lb. Assume that the population mean weight of Siberian Huskies is 49 lb. with a standard deviation of 7. The weights of Huskies are normally distributed.
What is the approximate percentage of Huskies that weigh less than Jason's dog?
a) 67%
b) 40%
c) 33%
d) 60%
Answer:
im kinda not smart but i think its B
Step-by-step explanation:
At what at speed was jo walking for the first 30 minutes?
Answer:
6 km/hr
rested 10 minutes
Step-by-step explanation:
3 km/0ne half hour = 6 km/hr
Type the correct answer in each box. Use numerals instead of words.
For linear functions v and w, v(10) = 12, and w(10) = 9.
(V+ W/(10) =
(V-W(10) =
(VW(10) =
B is the circumcenter of △ADG. find AE and DG
When B is the circumcenter of triangle ADG the lengths of AE and DG are 4 and 12 respectively
What is circumcenter in a triangle?The intersection of the perpendicular bisectors of a triangle's sides is known as the circumcenter of that particular triangle.
In other terms, the circumcenter is the point at which the bisector of a triangle's sides coincides.
The perpendicular lines radiating from the sides of the triangle are the bisectors hence the line it radiates from shares the is shared into two halves at that point
Having this in mind
AE = DE = 4
and
DF = GF = 6
Also, DF + GF = DG
DG = DF + DF
DG = 6 + 6
DG = 12
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How do I solve for the measures of the the interior angles of a polygon
Answer:
Step-by-step explanation:
To solve for the interior angles for a polygon,
subtract 2 from the number of sides then multiply with 180
i.e, (n-2)180
e.g, in the case of a triangle, (3-2)180 = 1*180 = 180
As for square, (4-2)180 = 2*180 = 360
Hope u understand.
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