The interest amount (simple interest ) on the loan amount $5315 at 5% from 10th aug to 23rd dec. of same year is $105.50
How to calculate simple interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
For this case, we're specified that:
Principal amount = $5315Rate of interest = R% = 5% (assumingly annually, and simple interest).Time for which interest was applied: 10th aug to 23rd dec.( of same year assumingly)Converting this time in terms of year, we get:
Aug has 31 days, Sept has 30 days, Oct. has 31 days, Nov has 30 days.
From 10th aug, till its last, there went 22 days.
Whole sept and oct and nov. was spent (30+31+30 = 91 days)
And then there were 22 days of december(23rd day not covered assumingly)
So, total days = 22+22+91 = 145 days.
Assuming averagely 365.25 days in an year, we get the average time for which the interest will be calculated as:
[tex]\dfrac{145}{365.25} \approx 0.397 \: \rm years[/tex]
Thus, we get: the amount of interest as:
[tex]I = \dfrac{P \times R \times T}{100}\\\\I \approx \dfrac{5315 \times 5\times 0.397}{100} \approx 105.50 \: \rm dollars[/tex]
Thus, the interest amount (simple interest ) on the loan amount $5315 at 5% from 10th aug to 23rd dec. of same year is $105.50
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Rename 1/5 and 9/10 using the least common denominator.
Answer:
[tex]\frac{2}{10}[/tex] and [tex]\frac{9}{10}[/tex]
Step-by-step explanation:
First, llook at the denomintor. Do 5 and 10 have something in common? 5x2=10 and 10x1=10. The common denominator is 10. Then you mulitply the numerator with what you mulitpierd with the denominator. 9x1=9 and 10x1=10 =[tex]\frac{9}{10}[/tex]. 1x2=2 and 5x2=10 = [tex]\frac{2}{10}[/tex]. So, It is [tex]\frac{2}{10}[/tex] and [tex]\frac{9}{10}[/tex].
Which statements are true about the polynomial 28vw 49v 35w? check all that apply. the coefficients have no common factors other than 1. there are no common variables among all three terms. the gcf of the polynomial is 7v. each term written as the product, where one factor is the gcf, is 7(28vw) 7(49v) 35(w). the resulting expression when factoring out the gcf is 7(4vw 7v 5w).
The statements that are true about the considered polynomial are:
Option 2: There are no common variables among all three termsOption 5: The resulting expression when factoring out the gcf is 7(4vw+7v+5w)How to find Greatest common factor?Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.
We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those will together compose GCF(Greatest common factor).
The considered polynomial is: 28vw + 49v + 35w
Checking all the options:
Option 1: The coefficients have no common factors other than 1False.
Coefficients are numbers in multiplication with variables in each term.
The coefficients of the considered polynomial are 28, 49, 35
They are all multiple of 7 and 1, so the common factor is 7 too, along with 1.
Option 2: There are no common variables among all three termsYes its true.
It is because none of the variables v, or w are in all the three terms.
Option 3: The gcf of the polynomial is 7v.False.
First term = 28vw = [tex]7\times 4 \times v \times w[/tex]Second term = 49v = [tex]7\times 7 \times v[/tex]Third term = 35w = [tex]7 \times 5 \times w[/tex]Thus, the greatest factor that is common in all three terms is 7 and not 7v.
Option 4: Each term written as the product, where one factor is the gcf, is 7(28vw) 7(49v) 35(w)False.
Because, each term written as product of gcf gives:
First term = 28vw = [tex]7\times 4vw[/tex]Second term = 49v = [tex]7\times 7v[/tex]Third term = 35w = [tex]7 \times 5w[/tex]Option 5: The resulting expression when factoring out the gcf is 7(4vw+7v+5w)True.
It is because:
[tex]7(4vw+7v+5w) = 28vw + 49v + 35w[/tex] = the considered polynomial, and that 7 is the gcf.
Thus, the statements that are true about the considered polynomial are:
Option 2: There are no common variables among all three termsOption 5: The resulting expression when factoring out the gcf is 7(4vw+7v+5w)Learn more about greatest common factor here:
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Answer:
The coefficients have no common factors other than 1.
There are no common variables among all three terms. <----
The GCF of the polynomial is 7v.
Each term written as the product, where one factor is the GCF, is 7(28vw) + 7(49v) + 35(w).
The resulting expression when factoring out the GCF is 7(4vw + 7v + 5w).
^^^^
Step-by-step explanation:
B and E i just did it on edg
Problem: Y = 3x² - 3x + 2
Discriminant: b²-4ac = 9 - 4 (3)(2) = -15
Explain why this has no solution/ 0 real solutions. Explain the discriminant.
Answer:
Given:-
Y = 3x² - 3x + 2
Find : - Discriminant
Y = ax² - bx + c
Discriminant is : - Y = b² - 4ac
So, Discriminant is :-
(-3²) - 4 (3) (2)
= 9-24
=-15
If b² - 4ac < 0.
The equation has no real solution but it does have complex solution.
A right triangle has one angle that measures 16°. What is the measure of the other acute angle
Answer:
3rd angle = 74
Step-by-step explanation:
Remark
All triangles have 180 degrees.
In addition a right triangle has 1 angle that equals 90 degrees.
That means the other 2 must add to 90.
Givens
1 angle = 90
1 angle = 16
3rd angle = x
Solution
x + 16 + 90 = 180 Sum 3 angles to 180 degrees. Combine
x + 106 = 180 Subtract 106 from both sides.
x = 180 - 106 Combine
Answer: x = 74
Which ordered pair maximizes the objective function p = 3x 8y? (0, 0) (2, 7) (5, 6) (8, 1)
The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6) .Option C is correct.
What is the objective function?The objective function is simply an equation that represents the goal production capability that relates to maximizing profits in relation to manufacturing.
On putting the values we will get the values one by one. We get;
1. (0, 0)
[tex]3 (0)+8(0) = 0[/tex]
2. (2,7)
[tex]3(2)+8(7)=62[/tex]
3. (5,6)
[tex]3(5)+8(6)=63[/tex]
4. (8,1)
[tex]3(8)+8(1)=42[/tex]
The maximum value obtained from the 63. Obtained from option C. The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6)
Hence option C is correct.
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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The solutions are all the points strictly larger than 5, to represent this, we draw an open circle at x = 5, and a bold line that points to the right.
How to represent the inequality?
Here we have the inequality:
–3(2x – 5) < 5(2 – x)
First, we need to isolate x in one side of the inequality, we will get:
-6x + 15 < 10 - 5x
15 - 10 < -5x + 6x
5 < x
Then the solutions are all the points strictly larger than 5, to represent this, we draw an open circle at x = 5, and a bold line that points to the right.
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3 + 32 ÷ 8 - 9 pls figure this out
3 + 4 -9
-2
........ -2 is the answer
Answer:
Your answer is -2.
Explanation:
3 + 32 ÷ 8 - 9
= 3 +4 - 9
= 7 - 9
= -2
Because bernard has some health issues, he must pay 15% more for life insurance. about how much more annually will a $115,000 10-year term insurance at age 35 cost bernard than someone of the same age without health issues? a 3-column table with 3 rows. column 1 is labeled age with entries 35, 40, 45. column 2 is labeled 10-year term, male, with entries 1.40, 1.64, 2.07. column 3 is labeled 10-year term, female, with entries 1.36, 1.59, 2.01. a. $161 b. $185 c. $1,073 d. $24 please select the best answer from the choices provided a b c d
The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is $24.
What are insurance premiums?The insurance premium is paid as a cost to cover a possible loss that is unseen.
The annual premium rate as a percentage of the value insured a person at age 35 has to pay is 0.14%.
From the given information, we have that the amount a 35-year-old without health issues will pay per $1,000 is $1.40
The amount to be paid for $115,000 is 115 × $1.4 = $161
The amount Bernard pays = 15% more
= 1.15 × $161
= $185.15
Therefore,
The amount more Bernard has to pay = $185.15 - $161
= $24.15 ≈ $24
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PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
See below ~
Step-by-step explanation:
We know the sum of the interior angles is 720° for a hexagon.
Finding x
2(90)° + 2(5x + 10)° + 136° + 134° = 720°180° + 10x° + 20° + 270° = 720°10x° + 470° = 720°10x° = 250°x = 25Finding m∠ABC
∠ABC = 5x + 10∠ABC = 5(25) + 10∠ABC = 125 + 10∠ABC = 135°What is the lowest common denominator for these fractions?
3/5 and 1/10
15
5
10
Answer:
10
Multiply both parameters by the least common multiple of each.[tex]\frac{3*2}{5 * 2} = \frac{6}{10}[/tex]
[tex]\frac{1*1}{10*1} = \frac{1}{10}[/tex]
The lowest denominator cannot be 5, because that would mean you would have to reduce 1/10, and you cannot since 1/10 is a unit fraction, meaning it has a numerator of 1. However, 3/5 in that scenario would remain the same, since it already has a denominator of 5, but 10 does not have both parameters divisible by 5, therefore, eliminate option B.It is also not A. because A. is too high, option A. would actually be the highest denominator you can go for in this situation, which we are not going for. We are going for the lowest denominator logically possible.________________________________________________________
With that information, the correct answer is option C, 10
________________________________________________________
What have we learned?We learned how to find the least common denominator of fractions whose parameters are not the same.
Questions related to this topic? Ask me in the comments box.
Find the midpoint between these two points:
(-2, -13) and (-8, 3)
options:
(-4, 8)
(-5, -8)
(-5, -5)
(4, 8)
A small box in the shape of a cube for packaging has a volume of 64 cubic inches.
For a medium box, the length, width, and height are all doubled. What is the ratio of the sides, area of the bases, and volumes of the boxes? Show your work.
What is the volume of a medium box? Show your work.
Ratios
Sides:
Area:
Volume:
What are the ratio of the small box to the medium box?
The first step is to determine the side lengths of the small box.
Side length = ∛64 = 4 in
Side lengths of the medium boxes = 4 x 2 = 8 inches
Volume of the medium box = 8³ = 256 cubic inches
The ratio of the sides of the small box to the medium box = 4 : 8 = 1:2.
The ratio of the area of the small box to the medium box= (4 x 4) : (8 x 8) = 1:4.
The ratio of the volume of the small box to the medium box = 4³ : 8³ = 1 : 8.
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What is the answer to 0.5(2x + 8) = x - 4
[tex]0.5(2x+8) = x-4\\\\\implies \dfrac 12 (2x+8 ) = x-4\\\\\implies 2x+8 = 2x-8\\\\\implies 8=-8\\\\\text{Which is not true, so there are no solution.}[/tex]
What’s the formula for volume on a square pyramid
9) Calculate the approximate area of the regular pentagon, to the nearest tenth.
11 cm
What is the value of t?
Evaluate ƒ(x) = 2x2 for ƒ(3)
Answer:
f(3) = 18
Step-by-step explanation:
In f(x) = 2x² ltet x = 3
f(3) = 2(3)²
f(3) = 2(9)
f(3) = 18
Which is true?
A) 36 feet = 3 inches
B) 36 inches = 3 feet
C) 36 yards = 3 feet
D) 36 feet = 3 yards
Answer:
option D
Step-by-step explanation:
becuase 36=3 feet
What are the coordinates of the y-intercept of the graph of y=–4x+5? (0, 5) (0, -5) (-5, 0) (5, 0)
Answer:
(0, 5)
Step-by-step explanation:
y = mx + b <== slope-intercept form of a straight line
m <== slope of the line
b = y-intercept (when x = 0)
y = -4x + 5
Therefore, for this line, the y-intercpet is (0,5)
Hope this helps!
Roberta's monthly bank statement says that she has a balance of 386.29, but roberta's check register says that her balance is 370.77. which of the following are still outstanding? i. a $78.17 check to the electric company ii. a $16.15 deposit from roberta's roommate iii. a $22.67 check to the grocery store iv. a $62.65 deposit from roberta's tax return a. i and ii b. ii and iii c. ii and iv d. i and iv please select the best answer from the choices provided a b c d
Answer:
D
Step-by-step explanation:
I and IV
Let A and B be two events. Suppose that P(A) = 0.21 and P(B) = 0.60.
(a) Find P(AorB), given that A and B are mutually exclusive.
(b) Find P(AorB), given that A and B are independent.
Answer For two events A and B,P(A)−0.36,P(B)−0.37, and P(A∩B)−0.11 a. Find P(A∣B). b. Find P(B∣A). c. Determine whether or not A and Bare independent. I think
Step-by-step explanation:
Emilio is helping pass out modeling clay in art class. He takes three 2-pound bricks of clay
from the supply shelf. His job is to give each student 4 ounces of clay, but he runs out before
he can finish. If his class has a total of 28 students, how many more ounces of clay does he
need?
Answer:
16 ounces
Step-by-step explanation:
1 pound = 16 ounces. Each clay block is 2 pounds so each of them are 32 ounces.
32 x 3 = 96
Divide 96 by the 4 ounces for each student, 96 ÷ 4 = 24
The clay is only enough for 24 students, leaving 4 students out, each need 4 ounces, so multiply the 4 students by the 4 ounces.
4 x 4 = 16
Therefore, 16 ounces are needed. Hope this helped!
I don’t know it and need help with this problem.
For each expression, select all equivalent expressions from the list.
(a) 11x - 4x + 10x
O 7x + 10x
0 17 + x
10x - 7x
17x
(b) 2(1+8y)
2+1.2 +8y
2 +16y
02.1+2.8y
O2 + 8y
I can’t figure them all out please help.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's find the equivalent expressions ~
#1. PROBLEM
[tex]\qquad \tt \dashrightarrow \:11x - 4x + 10x[/tex]
[tex]\qquad \tt \dashrightarrow \:21x - 4x[/tex]
[tex]\qquad \tt \dashrightarrow \:17x[/tex]
#2. PROBLEM
[tex]\qquad \tt \dashrightarrow \:2(1 + 8y)[/tex]
[tex]\qquad \tt \dashrightarrow \:(2 \times 1) + (2 \times 8y)[/tex]
[tex]\qquad \tt \dashrightarrow \:2 + 16y[/tex]
-
If sec 0= √ 2, find the two values of O between
0° and 360°.
[tex]\sec \theta = \sqrt 2\\\\\implies \cos \theta = \dfrac 1{\sqrt 2}\\\\\implies \theta = 2n\pi \pm \dfrac{\pi}4\\\\\\\text{In the interval}~ 0 < \theta < 2\pi, \\\\\theta = \dfrac{\pi}4, \dfrac{7\pi}4~~ \text{or}~~ \theta = 45^{\circ}, 315^{\circ}[/tex]
Find the circumference of circle, in terms of pi, if the diameter is 23.7 feet. a
Answer:
I believe the answer is 74.557 I apologize if I am incorrect
Step-by-step explanation:
Algebra Find the value of x.
Answer:
x = 12
Step-by-step explanation:
Theorem of Thales
[tex]\frac{28}{12} =\frac{x+(x-3)}{x-3}[/tex]
[tex]\frac{28}{12} =\frac{2x-3}{x-3}[/tex]
[tex]28(x-3)=12(2x-3)[/tex]
[tex]28x-84=24x-36[/tex]
[tex]28x-24x=-36+84[/tex]
[tex]4x=48[/tex]
[tex]x=48/4[/tex]
[tex]x=12[/tex]
Hope this helps
What is the Median of the numbers 20, 18, 14, 7, 15, 5
Answer:
The answer should be 14.5
Step-by-step explanation:
Hope This Helps
Have A great day
~Zero~
A right rectangular prism is sliced perpendicular to its base.
What is the shape of the resulting two-dimensional cross section?
trapezoid
rectangle
triangle
Answer:
rectangle!
Step-by-step explanation:
Just finished the test for k-12
Answer:
Rectangle
Step-by-step explanation:
Will mark brainlyest!!
Answer:
C (9,-2)
Step-by-step explanation:
Move to the right 9 times and move down 2 times (or -2)
Hope this helps!
Answer:
the answer is C
Step-by-step explanation:
the x axis goes first then the y