Answer:
Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.
Step-by-step explanation:
Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:
1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125
1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128
1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131
Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.
Make x the subject of the formula p = x + a b
Answer:
Step-by-step explanation:
x + ab = p
x = p - ab
Single payment loan. Principal $10,500.00 annual rate of interest 15%, time 123 days. What is the total repayment
amount?
A $10,500.00
B $11,000.00
C $11,038.13
D 12,000.00
Answer:
B, 11000
Step-by-step explanation:
assuming a 365 day year...
[tex]10500*(1+.15)^{\frac{123}{365}}= 11006.35813[/tex]
which I guess is close enough to 11000
The total repayment amount is $11030.75. Therefore, option C is the correct answer.
Given that, Principal $10,500.00 annual rate of interest 15%, time 123 days.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.
Now, simple interest = (10500 × 15 × 123)/(100 × 365)
= 193725/365
= 530.75
So, amount = 10,500.00+530.75
= 11030.75
The total repayment amount is $11030.75. Therefore, option C is the correct answer.
To learn more about the simple interest visit:
https://brainly.com/question/25845758.
#SPJ2
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4(x + 3) + 2x in the simplest form
Answer:
6x + 12
Step-by-step explanation:
Distribute the 4 first. Now you have 4x + 12 + 2x. 4x + 2x are like terms and therefore they can be added. Your final simplified answer is therefore 6x + 12.
Managers at an automobile manufacturing plant would like to estimate the mean completion time of an assembly line operation, . The managers plan to choose a random sample of completion times and estimate via the sample. Assuming that the standard deviation of the population of completion times is minutes, what is the minimum sample size needed for the managers to be confident that their estimate is within minutes of
Answer:
The appropriate answer is "144".
Step-by-step explanation:
Given:
Population standard deviation,
[tex]\sigma=10.4[/tex]
Margin of error,
[tex]E=1.7[/tex]
[tex]CL=95[/tex] %
[tex]CL=1-\alpha[/tex]
Or,
[tex]\alpha=1-CL[/tex]
[tex]=1-0.95[/tex]
[tex]=0.05[/tex]
Now,
Critical value,
= [tex]Z_{\frac{\alpha}{2} }[/tex]
= [tex]Z_{\frac{0.05}{2} }[/tex]
= [tex]1.96[/tex]
The minimum sample size will be:
⇒ [tex]n=\frac{Z^2_{\frac{\alpha}{2} }(\sigma)^2}{E^2}[/tex]
By putting the values, we get
[tex]=\frac{(1.96)^2(10.4)^2}{(1.7)^2}[/tex]
[tex]=\frac{415.5074}{2.89}[/tex]
[tex]=143.774[/tex]
or,
[tex]=144[/tex]
need an answer quick, will give the first right answer brainliest, i need a step by step explanation please
Answer: Imma say C
Step-by-step explanation:
The diameter of a circle is equal to twice it's radius
TRUE OR FALSE
Answer:
true
Step-by-step explanation:
The diameter of a circle is a single line segment that stretches the entire width of the circle, intersecting with the center point and two points around the circumference. The diameter measures how wide the circle is, and is always equal to twice the radius (2r).
Simplify each expression by writing the expression without absolute value bars
Answer:
-1
Step-by-step explanation:
When b<4
|b-4| is negative
|b-4| = - ( b-4)
- (b-4) / ( b-4) =
Factoring out (b-4)
-1
how do i solve this ?
Answer:
[tex]2\sqrt{2}[/tex]
Step-by-step explanation:
The given triangle is an isosceles triangle. However, one can see that it has a right angle (indicated by the box around the angle). Thus the triangle is a (45 - 45 - 90) triangle. A (45- 45 - 90) triangle is the only right isosceles triangle. One of the properties of a right isosceles triangle is that its sides follow the following ratio,
[tex]a;a;a\sqrt{2}[/tex]
Where (a) represents the legs of the right triangle, the sides that are adjacent to the right angle, in this case, the congruent sides. ([tex]a\sqrt{2}[/tex]) is the hypotenuse, the side opposite the right angle.
It is given that the hypotenuse is equal to (4), one is asked to find the length of the legs. To do so, divide the hypotenuse by ([tex]\sqrt{2}[/tex]) to find the legs. One can do this because the triangle is a (45 - 45 - 90) triangle, thus it must follow the ratio of the sides.
[tex]=\frac{4}{\sqrt{2}}[/tex]
Rationalize the denominator,
[tex]\frac{4}{\sqrt{2}}\\\\=\frac{4\sqrt{2}}{2}\\\\=2\sqrt{2}[/tex]
4( x + 2) + 6x in the simplest form
Answer:
10x+8
Step-by-step explanation:
4( x + 2) + 6x
Distribute
4x+8 +6x
Combine like terms
10x+8
Answer:
10x+8
Step-by-step explanation:
4x+8+6x
(4x+6x)+8
10x+8
Determinar a posição da reta r, de equação 2x-3y+5=0, em relação à reta s, de equação 4x-6y-1=0
Answer:
[tex]2x - 3y = - 5 - - - (a) \\ 4x - 6y = 1 - - - (b) \\ no \: answers[/tex]
What is an inscribed polygon is being constructed
A square
Step-by-step explanation:
because there're only 2 circles being create whereas with an equilateral
Answer:
A square
Step-by-step explanation:
Determine the list of numbers 14, 18 and 33 can be measured of the sides of a triangle if so clarify the triangle as a cute right or obtuse
9514 1404 393
Answer:
no
Step-by-step explanation:
The measures 14, 18, 33 cannot correspond to the sides of a triangle. The two short sides total 32 in length, so cannot meet up with the ends of the side whose length is 33. A triangle cannot be formed.
What is the answer to
24 + y = 41
Answer:
y=17
Step-by-step explanation:
move the constant to the right hand side and change it's sign
y=41-24
then subtract the numbers y= 41-24
which = 17
Answer: i believe it is 24 + 17 = 41 ^^ can you give me brainly when you get the chance
Step-by-step explanation:
If the original quantity is 14 and new quantity is 35 what is the percent change
Answer:
150%
Step-by-step explanation:
given:
original quantity = 14
new quantity = 35
increased quantity = 35 - 14
=21
percent change = increased quantity /original quentity * 100%
=21/14 *100%
=21100/14 %
=150 %
I need help please :)
NEED HELP ASAP PLEASE
Assume that a three-month CD purchased for $3000 pays simple interest at an annual rate of 10%. How much total interest does it earn?
$ ____
What is the balance at maturity? ______
Answers:
interest = $75balance at maturity = $3075=============================================================
Explanation:
The simple interest formula is
i = p*r*t
where in this case,
p = 3000 = principal (amount deposited)r = 0.10 = annual interest rate in decimal formt = 3/12 = 0.25 = number of yearsSo,
i = p*r*t
i = 3000*0.10*0.25
i = 75 is the amount of interest earned
This adds onto the initial deposit to get the final balance when the CD matures (ie when you're able to withdraw the money without penalties)
The balance at maturity is p+i = 3000+75 = 3075 dollars
---------------
In short, you deposit $3000 into the CD and have to wait 3 months for the amount to update to $3075.
A ordinary fair dice is thrown once. What is the probability the dice lands on a even number
Find the area of the triangle, WILL GIVE BRAINLIEST
Answer:
10 cm^2
Step-by-step explanation:
area= 1/2 b*h
1/2 (5) (4)
= 1/2 (20)
=10
area= 10cm^2
Answer:
a = 10cm²
Step-by-step explanation:
a = (1/2)bh
a = (1/2)(5)(4)
a = 10cm²
Question: An expression is shown below: f(x) = x^2 – 6x + 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.
given a parabola in standard form
y
=
a
x
2
+
b
x
+
c
then the x-coordinate of the vertex can be found using
∙
x
x
vertex
=
−
b
2
a
y
=
x
2
−
6
x
+
5
is in standard form
with
a
=
1
,
b
=
−
6
,
c
=
5
⇒
x
vertex
=
−
−
6
2
=
3
substitute this value into equation for y-coordinate
y
vertex
=
3
2
−
6
(
3
)
+
5
=
−
4
⇒
vertex
=
(
3
,
−
4
)
the axis of symmetry is vertical and passes through the
vertex with equation
x
=
3
to find x-intercepts let y = 0
⇒
x
2
−
6
x
+
5
=
0
the factors of + 5 which sum to - 6 are - 1 and - 5
⇒
(
x
−
1
)
(
x
−
5
)
=
0
equate each factor to zero and solve for x
x
−
1
=
0
⇒
x
=
1
x
−
5
=
0
⇒
x
=
5
⇒
x
=
1
and
x
=
5
←
x-intercepts
graph{(y-x^2+6x-5)(y-1000x+3000)=0 [-10, 10, -5, 5]}
What are the value too
F(-3)=
F(-1)=
F(3)=
Answer:
f(-3)=-2,5
f(-1)=-1,5
f(3)=¾
Answer:
-5/2
3/2
3/4
Step-by-step explanation:
From the observation deck of a skyscraper,
Taylor measures a 67° angle of depression
to a ship in the harbor below. If the
observation deck is 1014 feet high, what is
the horizontal distance from the base of the
skyscraper out to the ship? Round your
answer to the nearest tenth of a foot if
necessary.
Given:
Angle of depression from observation deck to a ship = 67°
Height of observation deck = 1014 feet.
To find:
The horizontal distance from the base of the skyscraper out to the ship.
Solution:
Let x be the horizontal distance from the base of the skyscraper out to the ship.
Using the given information draw a diagram as shown below.
In a right angle triangle,
[tex]\tan\theta=\dfrac{Perpendicular}{Base}[/tex]
For triangle ABC,
[tex]\tan A=\dfrac{BC}{AB}[/tex]
[tex]\tan (67^\circ)=\dfrac{1014}{x}[/tex]
[tex]x=\dfrac{1014}{\tan (67^\circ)}[/tex]
On further simplification, we get
[tex]x=\dfrac{1014}{2.35585}[/tex]
[tex]x=430.41789[/tex]
[tex]x\approx 430.4[/tex]
Therefore, the horizontal distance from the base of the skyscraper out to the ship is 430.4 feet.
Applying the Trigonometry ratio, TOA, the horizontal distance from the base of the skyscraper out to the ship is: 430.4 ft.
Recall:
To solve a right triangle, apply any of the Trigonometry ratios, SOH CAH TOA, where necessary.The situation described is shown in an image attached below, where:
BA = horizontal distance from the base of the skyscraper out to the ship (adjacent side length)BC = 1014 ft (Opposite side length)∠A = 67° = reference angle (∅)To find BA, apply TOA, which is:
tan ∅ = Opp/Adjacent
Substitutetan 67 = 1014/BA
[tex]BA = \frac{1014}{tan(67)} \\\\\mathbf{BA = 430.4 $ ft}[/tex]
Therefore, applying the Trigonometry ratio, TOA, the horizontal distance from the base of the skyscraper out to the ship is: 430.4 ft.
Learn more about Trigonometry ratio on:
https://brainly.com/question/10417664
Select the correct answer.
On the curve y = x/3
point P has coordinates (2.0.667). What is the slope of the curve at point P?
A.0.033
B.0.067
C.0.333
D.0.667
Answer:
c and d
Step-by-step explanation:
What is the value of “a” in the function equation?
Answer: the value of A is 2
Step-by-step explanation:
Evaluate. 2^n -1, where n =7
Step-by-step explanation:
Sub n in the equation
2^7-1 = 128-1=127
Find the surface area of a square pyramid with side length 4 and slant height 5.
Answer:
56
Step-by-step explanation:
the surface area = (4×4) + (4×½×4×5)
= 16 + 40
= 56
PLS HELP
Which is a solution for the inequality -6x – 5 <-23 ?
(1) O
(2) 2
(3) -2
(4) 5
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.
Ms. Nellies has 2 1/2 pints of vinegar for her students to use in a science experiment.Each group of students needs 3/8 pint of vinegar.Trey draws the number line model and writes the equation below to help Ms. Nellies figure out how many 3/8-pint serving of vinegar she has.Are Trey's number line model and equation correct?
Trey's number line is _______ because it represents the expression _________.The correct equation is _______.Ms. Nellies has enough vinegar for _________ groups of students.
1st blank box: correct or incorrect
2nd blank box: 2 1/2 x 3/4,2 1/2 ÷ 3/4,2 1/2 x 3/8,or 2 1/2 ÷ 3/8.
3rd blank box: 2 1/2 ÷ 3/8= 6 2/3,2 1/2 ÷ 3/8 = 3 1/3,2 1/2 x 3/8 = 2 3/16, or 2 1/2 ÷ 3/8 = 15/16
4th blank box: 2,6,3,or 0
Answers:
Trey's number line is incorrect because it represents the expression 2 1/2 ÷ 3/4.
The correct equation is 2 1/2 ÷ 3/8 = 6 2/3.
Ms. Nellies has enough vinegar for 6 groups of students.
===========================================================
Explanation:
Trey has the right idea, but made a mistake on how the tickmarks are set up. Focus on the interval from 0 to 1. This section is cut into 4 equal pieces. So each tickmark represents 1/4 of a unit.
Going 3 tickmarks across means 3/4 of a unit is represented. Since each larger arc represents 3/4 of a unit, this means we're dividing the 2 & 1/2 over 3/4 instead of 3/8
That's why Trey's model represents 2 1/2 ÷ 3/4
The value 3 & 1/3 at the end is correct. Visually we see 3 whole jumps plus an extra 1/3 of a jump to arrive at 2 & 1/2. But again, Trey didn't cut the number line up in the right way, so it doesn't matter that he arrived at the correct result of 3 & 1/3 since his initial setup is faulty.
------------------------------
See the diagram below to see what Trey should have drawn. Notice each tickmark represents 1/8 instead of 1/4. Each large blue arc jump represents 3/8 of a unit. We have exactly 6 of these blue arcs plus 2 additional smaller arcs that are 1/3 of the blue arc. So that accounts for the 1/3+1/3 = 2/3 portion.
Overall, we would say that the equation is 2 1/2 ÷ 3/8 = 6 2/3
If you're curious why that equation works, check out the steps below
[tex]2 \frac{1}{2} \div \frac{3}{8} = \frac{5}{2} \div \frac{3}{8}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{5}{2} \times \frac{8}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{5*8}{2*3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{40}{6}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{20}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{18+2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{18}{3}+\frac{2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = 6+\frac{2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = 6\frac{2}{3}\\\\[/tex]
So again, the equation is 2 1/2 ÷ 3/8 = 6 2/3
------------------------------
What does this all mean? Well it means the teacher can break up the vinegar into 6 whole parts plus an additional 2/3 of a part.
In other words, 6 groups will get 3/8 of a pint each. The leftover part 2/3 isn't enough to form that 7th group. Notice in the diagram below, we have 2/8 = 1/4 of a pint which is smaller than 3/8 of a pint.
1/4 = 0.25
3/8 = 0.375
So this is another way to see that the leftovers isn't enough to form a 7th group.
Therefore, she has enough vinegar for 6 groups
Find the measures of the angle QUESTION A.
Answer:
145°
Step-by-step explanation:
x°+70°=(2x-5)°
x°+70°=2x°-5°
70°+5°=2x°-x°
75°=x°
x=75
JKM=(2x-5)°
=(2x75-5)°
=(150-5)°
=145°
Tyler thinks that this figure has enough information to figure out the values of A and B.
Do you agree? Explain your reasoning.
Answer: No
Step-by-step explanation:
We know that A+B = 90, but without further information we cannot determine the specific values of A and B.
