Therefore , the solution to the given problem of interest comes out to be $272.
What does interest mean?Simple interest is calculated by dividing initial capital by the interest rate, the duration, and other variables. The formula employed in marketing is simple return = principle + interest plus hours. This approach is the simplest way to calculate interest. Calculating interest as a percentage of the principle sum is the most common approach. For instance, he may only pay his portion of the interest if he borrowed $100 from a friend and agreed to pay it back with 5% interest. $100 (0.05) = $5. You should pay interest when you make loans, and you also must pay interest when you lend it. Usually, interest is calculated as a portion of a loan.
Here,
Given: $250 in principal
a 2.2% interest rate
and a 4-year term
To discover the basic interest:
Using this formula
Simple interest is equal to
=>P*R*T/100,
=> 250*2.2*4/100
=> 22.
Total amount after 4 years = 250 + 22 =272
Therefore , the solution to the given problem of simple interest comes out to be $272.
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1. The backdrop of the altar in a church is triangular in shape. It has a base of 10.5 meters
and a height of 8.5meters. The priest instructed the layman to cover it from the center with
a white rectangular cloth measuring 4.5 meters long and 4 meters wide. How big was the uncovered backdrop?
A. 26.63 m² B. 18 m²
C. 44.63 m² D. 89.25 m²
------------------------------------
2. A circular portion of a cardboard having 7.6 centimeters radius was being cut out from the entire
squarepiece of a cardboard having a side of 34 centimeters. How big was the remaining piece of
a cardboard?
A.181.37 m² B.974.63 m²
C. 1156 m² D. 219.6 m²
Answer:
#1
Area of triangle backdrop:
A = 1/2bh = 1/2(10.5)(8.5) = 44.63 m²Area of the cloth:
A = 4.5*4 = 18 m²Uncovered area:
44.63 - 18 = 26.63 m²Choice A
#2
Area of the cut piece:
A = πr² = 3.14*7.6² = 181.37 cm²Area of the square piece:
A= a² = 34² = 1156 cm²Remaining piece is:
1156 - 181.37 = 974.63 cm²Choice B
-15 POINTS-
How many sides does a regular polygon have if one interior angle measures 144°
Answer: 10 sides
Step-by-step explanation:
You can always use the given formula to calculate but I (personally) find it much easier to calculate the number of sides using the exterior angle.
To calculate the exterior angle, it is 180 - the interior angle.
In this example, the exterior angle would be 180-144 = 36°
Because it is a regular polygon, we know that all the angles in the shape are the same.
In all polygons, the exterior angles always add up to 360 degrees.
So divide 360 by 36 (the size of each exterior angle), and you get 10.
360/36 = 10
Question #2
What is the value of the expression
35
?
23 – 1
A 5
B 7
C 12
Answer:
A. 5
Step-by-step explanation:
just use calculator tbh
Prove that for any natural n: a the number 7^(n+4) −7^n is divisible by 30.
For, n = 0, 1 we proved that 7⁽ⁿ⁺⁴⁾ - 7ⁿ hence by induction it is divisible by 30 for all n ∈ N.
What is mathematical induction?An inductive proof requires two cases. The first, or base case, establishes the proposition that n = 0 without requiring any prior knowledge of other situations. The second example, the induction step, demonstrates that if the assertion is true for any particular case where n = k, then it must also be true for the subsequent case when n = k + 1. These two actions prove that the statement is true for all n = 1 natural numbers. The base case establishes the truth of the statement for all natural numbers n N, but it does not always start with n = 0. Instead, it frequently starts with n = 1, and it may also start with any fixed natural number n = N.
Given, We have to prove 7⁽ⁿ⁺⁴⁾ - 7ⁿ is divisible by 30 for all n ∈ N.
Let, n = 0.
Therefore,
7⁴ - 7⁰.
= 2401 - 1.
= 2400.
= 30×80, Divisible by 30.
Similarly for n = 1 we have,
7⁵ - 7¹.
= 16807 - 7.
= 16800.
= 30×560.
Hence by induction, the cycle will continue.
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The square of a number minus six times a number equals negative five.
The equation is ?
The solutions to the equation is ?
Answer:
x² - 6x = -5
x = {1, 5}
Step-by-step explanation:
The square of a number minus six times a number equals negative five.
x² - 6x = -5
Add 5 to both sides
x² - 6x + 5 = 0
Factor
(x - 1)(x - 5) = 0
x = {1, 5}
Answer:
[tex]x^{2} - 6x = -5[/tex]
x = 1 or x = 5
Step-by-step explanation:
Let x = the no.
[tex]x^{2} - 6x = -5\\x^{2} - 6x + 5 = 0[/tex]
(x - 1)(x - 5) = 0
x = 1 or x = 5
The square of a number minus six times a number equals negative five.
The equation is ?
The solutions to the equation is ?
Equation [tex]x^{2}-6x=-5[/tex]
Solving:
[tex]x^2 - 6x+5=0\\\\(x-5)(x-1)=0\\\\x=1, 5[/tex]
please only right answers
Answer:
what is the full question? 4 units left or right or?
Can y’all help me on question 20?!
Answer:
A. 84
Step-by-step explanation:
84 / 4 = 21
Answer:
Its a(84)
Step-by-step explanation:
PLEASE BE FAST
Find the constant of proportionality for the proportional relationship shown in the graph.
graph of a line going through 0 comma 0 and one half comma 5
p = 10
p = 5
p = 0.5
p = 0.1
The constant of proportionality is 10 for the proportional relationship shown in the graph.
What is the constant of proportionality?The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.
The proportional relationship is shown in the given graph.
As per the given graph, we take two points (1, 10) and (2, 20)
So, the constant of proportionality will be as:
⇒ (20 - 10)/(2-1)
⇒ 10/1
⇒ 10
Hence, the correct answer would be option (A).
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The function f is defined by f(x) = 2x2 -7.
Find f(5x).
Answer:
10fx-7
Step-by-step explanation:
(:
Find the missing numbers 46 62 87 123 ---- 236
Answer:
The missing numbers are 74, 105, and 178.
5. What polygon is shown?
+
Answer:
Step-by-step explanation:
Pentagon
Answer: Pentagon
Step-by-step explanation: The shape has 5 sides so it's a pentagon
paper costs $1.50, which inequality is used to find how many rolls of paper could be purchased with less than $12?
Answer:
1.50x < 12 (the inequality would just be "less than")
Step-by-step explanation:
WILL MARK BRAINLIEST
The sum of an interior angle and its exterior angle is ___ for all regular polygons.
Answer:
180
Step-by-step explanation:
The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.
Hope it helped :)
Determine if the graph is a function.
Answer:
1. not a function
2. function
3. function
Step-by-step explanation:
ask yourself..."does it pass the vertical line test?"
What are the more appropriate measures of center and spread for this data
set?
Except Option - A all satisfy the more appropriate measures of center and spread for the data that is median and IQR.
Given that,
We have to find what are the more appropriate measures of center and spread for data.
We know that,
Mean, median, and mode are the three central tendencies, and median is the more accurate indicator.
This is because
i) Extreme values affect the mean.
ii) If there are more outliers, the mean is in error.
iii) Means that are biassed to the right or left may not accurately reflect the nature of the data.
However, median is preferable to mean because it represents the center entry and is unaffected by extreme items or outliers.
Since extreme items will show higher standard deviation and some outliers may be misleading, IQR is a superior spread measurement tool. However, IQR provides an excellent idea.
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< 8. If m M = (8x - 56) and mNP = (5x + 22), find mLP. M39 degrees
Answer:
I think 42 is the answer...
help help help help pls
Answer:
67
Step-by-step explanation:
42+90=132
180-132=48
<A=48
if u use the 113 that you got than
113+48=161
180-161=19
<B= 19
48+19=67
what is equivalent to 2/8
Answer:
1/4,
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
If a= m2 + 2, what is the value of a when m=-3?
0-7
-4
11
00
Answer:
a=11
Step-by-step explanation:
a=m2 +2
a= (-3)2+2
a=9+2
a=11
gretchen buys a sweater at a clearance sale for $35.74. The original price of the sweater was $59.99. Find the percent discount.
Answer:
59.5765%
Step-by-step explanation:
$35.74/$59.99
Here is the graph of a quadratic function f.
Select all equations that could define the function f.
Answer:
A B and D
Step-by-step explanation:
Given the parabola is opening downward, the function has to be negative. Therefore, A B and D are correct.
The following equations could define the given quadratic function.
1. -1(x-1)²+9
4. -x²+2x+8
6. (x+2)(x-4)
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c.
1. The function -1(x-1)²+9 represents a downward-facing parabola.
The vertex of the parabola is at point (1, 9), and it opens downward because the coefficient of the squared term (-1) is negative.
4. The function -x²+2x+8 represents a downward-facing parabola as well.
6. The parabola intersects the x-axis at x = -2 and x = 4.
Hence, the correct answer is options 1, 4, 6.
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a line has a slope of 7/10 and a y intercept of (0,-4) what is the equation of the line in standard form
Considering the definition of a line, the equation of the line in standard form is y - 7/10x= -4
What is Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.The standard form of a linear equation is Ax + By = C. In this type of equation, x and y are variables and A, B, and C are integers.
Equation in this caseIn this case, you know:
A line has a slope of 7/10.A line has a y-intercept of (0,-4).So, the line can be expressed as:
y=7/10x -4
Expresed in standard form:
y - 7/10x= -4
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Anna wants to buy 4 sweaters. The sweater come at a discount rate. If you buy one sweater regular price the other sweater is 40% off. How much percent is off of each sweater?
Answer:
20%------------------------
If you buy a sweater, the second one is at 40% discount.
Divide the discount between the two to get:
40%/2 = 20%You get a discount of 20% for each sweater.
Answer:
Discount percentage = 20%
Step-by-step explanation:
Discount of the sweaters,
→ first sweater = 0%
→ other sweater = 40%
The average discount percent is,
→ (first sweater + other sweater)/2
→ (0% + 40%) ÷ 2
→ (0 + 40)/2
→ 40/2
→ 20% off
Hence, the answer is 20% off.
Plz help me well mark brainliest if correct.......????.
Answer:
the answer is 6 feet!!
Answer:
A. 6 feet
Step-by-step explanation:
2 cm
A glass bead has the shape of a rectangular prism with a smaller rectangular
prism removed. What is the volume of the glass that forms the bead?
]
2 cm
4 cm
7 cm
4 cm
(The figure is not to scale.)
The volume of the glass that forms the bead is cm3.
Answer:
80
Step-by-step explanation:
help plz it due in an hour
Answer:
4√3/3
Step-by-step explanation:
This is a 30,60,90 triangle. Therefore, small side (X) is equal to 4/√3 or X√3. In this case, it is 4/√3. This is equal to 4/√3 times √3/√3. This means the answer will be 4√3/3. Therefore, X=4√3/3
If this helps please mark as brainliest
let sets a and b defined as follows
A is c,d,e,f,g
b is the set of odd numbers greater than 5 and less than 13
Answer:
The set A is defined as the set containing the elements c, d, e, f, and g.
The set B is defined as the set of odd numbers greater than 5 and less than 13. This set includes the elements 7, 9, and 11.
Step-by-step explanation:
What is the area of the figure below? 7 cm 8 cm 3 cm 4 cm
Is it plausible that the average commute time is actually 20 minutes? Explain.
Answer:
Yes
Step-by-step explanation:
Most commutes to work or errands are about 8 to 32 minutes - averaging at around 20 minutes.