Answer:
899.5
Step-by-step explanation:
1. Noah has $15,000 to invest. He invests some amount at 5% annual interest and the rest at 3% annual
interest. After one year, his total interest from both accounts is $620.
How much did he invest in each account? (Clearly label which amount is for which account in your
answer. Hint: Over a one year period, annual interest is the same as simple interest.)
[6 pts]
Answer:
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
Step-by-step explanation:
Let the sum invested at interest rate of 5% be X
Let the sum invested at interest rate of 3% be Y
As we know
[tex]X + Y = 15000[/tex] - Eq (1)
[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]
[tex]5X + 3Y = 62000[/tex] ---Eq (2)
Multiplying Eq (1) by 3 we get -
[tex]3X + 3Y = 45000[/tex]
Substract Eq (1) from Eq (2) we get
[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
i will award brainliest HELPP
Answer:
D
Step-by-step explanation:
Two lines, C and D, are represented by the equations given below:
Line C: y = x + 14
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why? (5 points)
a
(6, 20), because both lines pass through this point
b
(6, 20), because the point does not lie on any axis
c
(3, 11), because one of the lines passes through this point
d
(3, 11), because the point lies between the two axes
Answer:
The answer is c
Step-by-step explanation:
Plz someone answer I will give u points
Answer:
FL = 54°
Step-by-step explanation:
m<MNF = ½(ML + LF) (inscribed angle theorem)
7 + 8x = ½(72 + 7x + 5)
Solve for x
2(7 + 8x) = 72 + 7x + 5
14 + 16x = 72 + 7x + 5
Add like terms
14 + 16x = 77 + 7x
16x - 7x = 77 - 14
9x = 63
x = 63/9
x = 7
✅FL = 7x + 5
Plug in the value of x
FL = 7(7) + 5 = 49 + 5
FL = 54°
Please help me thanks! :)
Answer:
eyjdnfbhs
Step-by-step explanation:
Lacey and Rita are adding books to their class libraries. Lacey’s classroom started out with 14 books and she plans to but 2 more books per week. Rita started out with 22 books, and she has enough money in her budget to purchase one book per week. At some point, the teacher’s will have the same amount of books. Which week will have the same number of books and how many books will each class have?
Answer:
in 8 weeks they will each have 30 books
Step-by-step explanation:
Lacey: y = 2x + 14
Rita: y = x + 22
y = # weeks
x = # books
set equations equal to each other:
2x + 14 = x + 22
x + 14 = 22
x = 8
solve for 'y':
y = 8 + 22
y = 30
Shenelle has 100 meters of fencing to build a retangular Garden. The garden's area as a función of the garden's widrh X is modeled By A(x)= -(x-25)+625
Answer:
625 metres
Step-by-step explanation:
Given the area function expressed as a(w)=-(w-25)^2+625.
The maximum area occurs at when da/dw = 0
da/dw = -2(w-25)
0 = -2(w-25)
-2(w-25) = 0
w - 25 = 0
w = 25
Substitute w = 25 into the modeled equation;
Recall a(w)=-(w-25)^2+625.
a(25)=-(25-25)^2+625
a(25) = 0+625
a(25) = 625
Hence the maximum area possible is 625 metres
two numbers add up to 144. one number is half the square of the other number. what are the numbers
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Circle the like terms in each expression. Then identify the coefficients of the like terms. -x^2y + (-xy) + 2xy + (-2xy^2 ) 7 + 7c + 3 + 7c^3 + (-4)
a. Design a non-recursive algorithm for computing an (discussed in the class). What is the basic operation? How many times is the algorithm's basic op
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Part A: How can I write algebraic expression for 4 more than 3 times a number. (5 points) Part B: How can I write verbal expression for 2(n + 9). (5
ATTENTION - IN ALL THE QUESTIONS N=18 PLEASE MAKE SURE TO USE N=18 IN EVERY QUESTION In the problems #1a,b simplify the expressions and prese
Answer:
36 plus 36 plus 72 = 144 or 72 + 72= 144
May you solve this for me?
Answer: 23.94 cm
Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.
I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.
Which could be the function graphed below?
9514 1404 393
Answer:
(a) f(x) = √x -2
Step-by-step explanation:
The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.
[tex]f(x)=\sqrt{x}-2[/tex]
Answer:
the answer is A.
Step-by-step explanation:
:))))))
Ella and 3 friends are going ice skating. They hire 4 pairs of ice skates for 3 hours. The formula below is for working out the cost of hiring the stakes including a deposit.
C=s(3h+5)
C
= total cost
s
= number of pairs of ice skates
h
= number of hours
How much will it cost to hire 4 pairs of ice skates?
s = 4
h = 3
C = ?
C = s(3h + 5)
C = 4(3·3 + 5)
C = 4(9 + 5)
C = 4(14)
C = ?
ANSWER: It costs 56 dollars
Z - ( -7 ) < 5 it’s solving inequalities. Help. Also 8(3g - 2) <= 12(2g + 1) pls ;-;
Answer:
z < -2
g is indeterminate
Step-by-step explanation:
For the inequality Z - ( -7 ) < 5
open the parenthesis
z+7 < 5
Subtract 7 from both sides
z+7-7 < 5-7
z < -2
For 8(3g - 2) <= 12(2g + 1)
Expand
24g -16 ≤ 24g + 12
24g - 24g ≤ 12+18
0g≤ 28
g ≤ 28/0
Hence g is indeterminate
PLEASE HELP ME ANYONE :(
Answer
B
Step-by-step explanation:
5*5*6=150
Answer:
150
Step-by-step explanation:
[1 6 9 3]
[2 5 8 1]
[0 2 2 4]
what are the dimensions of the matrix
Answer:
4 by 3
Explanation:
Rows by columns
tour busload of 45 people attended two Florida theme parks on successive days. On Day 1 the entrance fee was $15 per adult, $8 per child, $12 per senior citizen and the total charge was $558. On Day 2 the entrance fee was $20 per adult, $12 per child, $17 per senior citizen and the total charge was $771. How many adults, children, and senior citizens were on this tour bus
Answer: There are 22 adults , 12 children and 11 senior citizens on the tour bus.
Step-by-step explanation:
Let adult = x
children = y
senior citizen = z
Given : Total busload (x+ y + z) = 45
Total charge on day 1 = 558 $ = [tex]15\times x+8\times y+12\times z[/tex]
Total charge on day 2 = 771 $ = [tex]20\times x+12\times y+17\times z[/tex]
Now we have 3 equations : x+ y+z =45
[tex]15\times x+8\times y+12\times z=558[/tex]
[tex]20\times x+12\times y+17\times z=771[/tex]
Solving for them we get: x= 22 , y = 12 and z= 11
Thus there are 22 adults , 12 children and 11 senior citizens.
Estimate the area of the circle. Use 7/22 for π
Answer:
Area = pi * r^2
r is half of the diameter
Area = pi * 14^2
Area = 196 pi
196 * 3.14
Area is approximately 615.44 cm^2
PLSSS HELP ME ASAPPPPPPP
Find the volume of the prism
PLEASE HELP ME!!!
No links ,answers only!!!
Answer:
[tex]f(-4) = 64[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (1,2)[/tex]
[tex](x_2,y_2) = (2,1)[/tex]
Required
Find f(-4)
We have that:
[tex]y = ab^x[/tex]
For [tex](x_1,y_1) = (1,2)[/tex]
[tex]2 = ab^1[/tex]
[tex]2 = ab[/tex]
For [tex](x_2,y_2) = (2,1)[/tex]
[tex]1 = ab^2[/tex]
Rewrite as:
[tex]1 = ab * b[/tex]
Make b the subject
[tex]b = \frac{1}{ab}[/tex]
Substitute: [tex]2 = ab[/tex]
[tex]b = \frac{1}{2}[/tex]
Substitute [tex]b = \frac{1}{2}[/tex] in [tex]2 = ab[/tex]
[tex]2 = a * \frac{1}{2}[/tex]
[tex]a = 2 * 2[/tex]
[tex]a = 4[/tex]
To calculate f(-4), we have:
[tex]f(x) = ab^x[/tex]
[tex]f(-4) = 4 * \frac{1}{2}^{(-4)}[/tex]
[tex]f(-4) = 4 * 16[/tex]
[tex]f(-4) = 64[/tex]
What is the area of the triangle?
Use the shell method to compute the volume (CALCULUS HELP!!!)
Use the shell method. The volume is
V = 2π ∫₅⁸ (x - 5) x ² dx
V = 2π ∫₅⁸ (x ³ - 5x ²) dx
V = 2π (1/4 x ⁴ - 5/3 x ³) |₅⁸
V = π/6 (3x ⁴ - 20x ³) |₅⁸
V = π/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))
V = 891π/2
Need answer asap, will give brainliest.
The solution is the point where the lines cross. So (-1, -2)
Can someone PLEASE HELP FOR 15 POINTS!
(Classify each pair of angles listed below as adjacent or vertical)
g Sardar has two old rich aunts, Betty and Gwenda. Assume they will both die before he does. For each aunt, Sardar thinks the chance that she will leave him some money if she dies first is 1/3. But Sardar thinks that if Gwenda dies first, the chance that Betty will leave him money is only 1/4, and if Betty dies first, the chance Gwenda will leave him money is also 1/4. What is the probability that he will inherit at least some money by the time they both die
Answer:
Sardar has a 29% chance of inheriting at least some money.
Step-by-step explanation:
Since Sardar has two old rich aunts, Betty and Gwenda, assuming they will both die before he does, for each aunt, Sardar thinks the chance that she will leave him some money if she dies first is 1/3, but Sardar thinks that if Gwenda dies first, the chance that Betty will leave him money is only 1/4, and if Betty dies first, the chance Gwenda will leave him money is also 1/4, to determine what is the probability that he will inherit at least some money by the time they both die the following calculation must be performed:
(1/3 + 1/4) / 2 = X
(0.333 + 0.25) / 2 = X
0.58333 / 2 = X
0.29 = X
Therefore, Sardar has a 29% chance of inheriting at least some money.
Based on the various probabilities that Sardar's aunts will leave him money when they die, the probability that he will at least inherit some money is 0.4375.
What is the probability that he will inherit at least some money?This can be found by the formula:
= Probability that Gwenda leaves money + Probability that Betty leaves money - Probability that both leave money
Solving gives:
= 1/4 + 1/4 - (1 / 4 x 1 / 4 )
= 1/2 - 1/16
= 0.4375
Find out more on probabilities at https://brainly.com/question/24756209.
Prove that if triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides, their associated Saccheri quadrilaterals are congruent. (HINT: Recall that the angle sum for a triangle is equal to the sum of the measures of the summit angles of its associated Saccheri quadrilateral and that the two summit angles of a Saccheri quadrilateral are congruent.)
Answer:
According to theorem 7.5
Π ABB'A' ≅ Π DEE'D'
therefore by transitivity of equivalence it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides
Step-by-step explanation:
To prove that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides :
Assume: б(Δ ABC ) = б(Δ DEF ) and also AB ≅ DE
let Π ABB'A' and DEE'D' be taken as the saccheri quadrilaterals that corresponds to Δ ABC and Δ DEF respectively
Following the Lemma above; б(Π ABB'A' ) = б( Π DEE'D' ) given that
AB = summit of ABB'A' and DE = summit of DEE'D' also AB ≅ DE
According to theorem 7.5
Π ABB'A' ≅ Π DEE'D'
therefore by transitivity of equivalence it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides
Hi I have a question pls DON’T give a link
Answer:
5. x=11
6.x=9
Step-by-step explanation:
5. 8 x 3=24
264/24=11
6. 4.5 x 4= 18
162/18=9
In a school of 1200 students, the ratio of
the number of teachers to students is 1 : 15.
After some teachers join the school, the ratio of
the number of teachers to students becomes 3:40.
Find
(i) the initial number of teachers in the school,
(ii) the number of teachers who join the school.
Step-by-step explanation:
i)Initial School population,
given 15 units = 1200
1 unit =
[tex]1200 \div 15 \\ = 80[/tex]
Number of teachers (initial) = 1 unit = 80.
ii)take j = number of teachers joining the school.
New teacher population = 80+j
[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]
Solve for Y= 1680 + 0.72
The area of a rectangular wall of a barn is 54 feet. It’s length is 12 feet longer than twice it’s width. Find the length and width of the wall of the barn.
Answer:the width is 3 feet
Step-by-step explanation:
The radius of a circle is 13 cm. Find its circumference in terms of pie.
Answer:
26 pi
Step-by-step explanation:
Answer:
531
Step-by-step explanation:
first the formula for finding the circumference of a circle is πr2
where π = 22/7
r = 13x13
hence, circumference = πr2
= 22/7 x 13 x 13
= 22/7 × 169
= 22 x 169/7
= 3718/7
= 531 cm