Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Suppose x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.
[tex]x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150[/tex]
Multiplying both sides by 100, we get
[tex]7x+16x+27x=15000[/tex]
[tex]50x=15000[/tex]
Dividing both sides by 50, we get
[tex]x=\dfrac{15000}{50}[/tex]
[tex]x=300[/tex]
So, the amount invested at 7% is [tex]300[/tex].
The amount invested at 8% is
[tex]2(300)=600[/tex]
The amount invested at 9% is
[tex]3(300)=900[/tex]
Hence, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.
1) f(x) = x 2+ 3x - 18 2) g(x) = x 2+ 2x - 120 3) h(x) = x 2+ 7x - 17 4) k(x) = x 2+ 9x + 20.25 5) s(x) = 4x 2– 5x - 21 6) t(x) = 16x 2+ 9x + 20 7) f(x) = -2x 2+ 10x - 5 8) r(x) = -3x 2- 5x + 2
find the value of x help plz I’ll mark brainiest
Answer:
x = 22
Step-by-step explanation:
Answer:
lol
Step-by-step explanation:
Find the slope of the line that passes through (9, 8) and (4, 6).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
Step-by-step explanation:
90
Answer:
it's 2/5 (0.4)
Step-by-step explanation:
y-y1
-------
x-x1
8-6
----
9-4
2
--
5 = 2/5 =0.4
I will get the belt if I get this wrong pls don't be a bs person
The skeletal system is composed of bones, cartilage, and joints. Our skeletal system has many functions. Choose three of these functions, explain their importance, and provide an example
Answer:
one is for structure, two is for being able to move around, and three is to cover joints or sum like that
Step-by-step explanation:
Answer:
idc if u get the belt, that's what u get anyway, LOL GET RICKROLLED!!
Step-by-step explanation:
Candy company produces 4800 candies per minute. How many in an hour. Must show work
Answer:
288,000 candies in 1 hour
Step-by-step explanation:
4800 candies per minute
60 minutes = 1 hour
4800 × 60 = 288,000
PLEASE HELPPPP
Find the equation of the line
Answer:
Y = 3/4x - 2
Step-by-step explanation:
Slope = 3/4
Y intercept = - 2
Line P is parallel Ito Line Q. Find the measure of angle 7 if the measure of angle 2 = 75.
(Last Question)
Gabriella is drawing a diagram of a ramp for science class part of the diagram Is shown.
answer is 30°
50-20=30°
hope it helps
Which fraction is equivalent to the whole number 8?
Answer:
16/2, 32/4, 64/8 ...
Step-by-step explanation:
There are multiple fractions that equal 8
А
B
Scarlett walks along the edges of a
rectangular path from A to B to C to D, a
distance of 38 metres. Jake walks along the
same rectangle, but from B to C to D to A,
a distance of only 31 metres.
What is the area, in square metres, of rectangle ABCD?
D
С
Answer:
168 meters squared
Step-by-step explanation:
So we know that Jake walked from b to c and d meaning he didn't go from a to b, but we also know that scarlet walked a to b so to find the length we can subtract scarlet's walk by jake's walk or 38-31 which is 7.
So we know the length of one side is 7 so this means we have side a to b and c to d, but we still need to know b to c. So what we can do is get the length of a b c and d and isolate it so that we only have b to c. To do this we get the length of 7 and double it which is 14 and take it away from the 38m
38-14=24
so now we know that the side is 24 and we can solve for the area
24*7=168
so the answer is 168 meters squared
Answer:
20% shaded. 1/5 in simplist form
The number of people who like a particular video online triples every day after the day the video is posted. If 15 people like the video on the day it is posted, which inequality can be used to find the number of days, t , it takes for the number of people who have liked the video to reach more than 3,000?
Answer:
[tex]t > 5[/tex]
Step-by-step explanation:
Given
[tex]a = 15[/tex] ---- Initial
[tex]r = 3[/tex] --- rate
Required
The inequality that represents people more than 3000
The given parameters show a geometric sequence and will be calculated using:
[tex]T_t = ar^{t-1[/tex]
Where t is the number of days
For the people to be more than 3000, the expression becomes:
[tex]ar^{t-1} > 3000[/tex]
Substitute values for a and r
[tex]15 * 3^{t-1} > 3000[/tex]
Divide both sides by 15
[tex]3^{t-1} > 200[/tex]
Take log of both sides
[tex]Log3^{t-1} > Log200[/tex]
Apply law of logarithm
[tex](t-1)Log3 > Log200[/tex]
Make t - 1 the subject
[tex]t - 1 > \frac{Log200}{Log3}[/tex]
[tex]t - 1 > 4.82[/tex]
Add 1 to both sides
[tex]t - 1 +1> 4.82 +1[/tex]
[tex]t > 5.82[/tex]
Round down
[tex]t > 5[/tex]
In Triangle UVW, the measure of Angle W=90", WU = 35 feet, and UV = 92 feét. Find the
measure of Angle U to the nearest tenth of a degree.
Answer:
67.6
Step-by-step explanation:
Guys I need help plz! ( it would mean a lot if u help )
Answer:
━☆゚.*・。゚X>6
Step-by-step explanation:
Here,X is greater than 6
Answer:
x > 6
Hope this helped <3
125^2x = 5^4x-4 solve for x
Answer:
x=-2
Step-by-step explanation:
[tex]125^{2x}=5^{4x-4}\\(5^3)^{2x}=5^{4x-4}\\5^{6x}=5^{4x-4}\\6x=4x-4\\6x-4x=-4\\2x=-4\\x=\frac{-4}{2}=-2[/tex]
What is the measure of the angle that the ladder makes with the wall?
Answer:
30°
Step-by-step explanation:
The measure of angle the ladder makes with the wall = 180 - (the measure of angle the ladder makes with the ground + 90°)
Measure of angle the ladder makes with the ground = 180 - 120 = 60°
Therefore,
The measure of angle the ladder makes with the wall = 180 - (60 + 90°)
= 30°
The half-life of a radioactive kind of barium is 3 minutes. How much will be left after 6
minutes, if you start with 80 grams of it?
Answer:
20 Grams will be left after 6 minutes.
Step-by-step explanation:
Find the product of 2/3 and 9/10
4 points
Answer:(2/3) + (9/10) = 47/30
= 1 17/30
Step-by-step explanation:
Answer:
Step-by-step explanation:
2/3 x 9/10
=(2x9)/ (3x10)
=18/30
The simplest form of 18/30 is 35.
How I got this answer: First you need to write out your equation, Then you need to multiply like so, Take the first number of your first equation and multiply it by the first number in the second equation then do that for your second like this (2x9) and take (3x10) mulitply both and you get 18 for the first then 30 for the second, if you need that in simplest form. then it will be 35. Hope this helps Have a wonderful day
A baseball team offers a promotion. Normally it’s $12 for bleacher seats, but every specially marked soda can takes $0.50 off the price.
Make a table with the following information:
Cans: 0, 2, 4, 6
Cost:
Equation:
Answer:
$12,$11,$10,$9
Step-by-step explanation:
As the starting price is $12, the first piece of information they give you is the number of cans + the discount each one gives, meaning that the table should have two titles being cost and cans. The number of cans should be at the top with the price being put below for example.
cans: 0 2 4 6
cost: 12 11 10 9
that is the table; the equation to figure this out would be
if you say that 1 can is = to "x"
then the equation becomes much easier to write down and you can simply write it down for each price
cost = 12
cost = 12 - 2x = 11
cost = 12 - 4x = 10
cost = 12 - 6x = 9
making x worth 0.5
Answer: $12,$11,$10,$9
Step-by-step explanation:
As the starting price is $12, the first piece of information they give you is the number of cans + the discount each one gives, meaning that the table should have two titles being cost and cans. The number of cans should be at the top with the price being put below for example. cans: 0 2 4 6 cost: 12 11 10 9 that is the table; the equation to figure this out would be if you say that 1 can is = to "x" then the equation becomes much easier to write down and you can simply write it down for each price cost = 12 cost = 12 - 2x = 11 cost = 12 - 4x = 10 cost = 12 - 6x = 9 making x worth 0.5
Help please! What is 438 x 934? I'm timed (gc for the school peeps sending this to them)
Answer:
438 x 934=409092
Step-by-step explanation:
I hope this helps.
Find the distance between (3,1) and (0,1).
A)
1 square 3
B)
1
C)
2
D)
3
The distance between (3,1) and (0,1) is 2. So option C is the right answer. The distance can be calculated by using formula Distance= Sq.root (x2-x1)^2+(y2-y1)^2)
Given two points are (3,1) and (0,1)
What is the formula for distance when two points are given?Distance= Sq.root (x2-x1)^2+(y2-y1)^2)
Here x2=1, x1=3, y2=1, y1=0
Distance=Root (1-3)^2+(1-1)^2
=sq.Root(4)
The root of 4 is 2
=2
Therefore distance between (3,1) and (0,1) is 2
To learn more about distance between two points click here: https://brainly.com/question/16319826
#SPJ2
5. Solve for the hypotenuse of the 45-45-90 triangle.
1 point
45°
9
и
Answer:
Step-by-step explanation:
u = 9√2
Answer:
[tex]9\sqrt{2}[/tex]
Step-by-step explanation:
Hello There!
The hypotenuse of a 45-45-90 triangle is equal to x[tex]\sqrt{2}[/tex] (in this case 9)
so u would equal [tex]9\sqrt{2}[/tex]
Find the 89th term of the arithmetic sequence 25, 35, 45, ...
Answer:
905
Step-by-step explanation:
arithmetic sequence are in form
a(n)=a(0)+d(n-1)
a(0)=25
common difference: d=35-25=10
a(n)=25+10(n-1)
a(89)=25+10(88)=905
Please help me find the correct answers
Answer:
1) 63cm²
2)28.27cm²
(dont put the cm² in your answer though since its already there)
Step-by-step explanation:
Surface area of the cardboard part formula :
Base × Height
you have the radius going half way so add another 3cm to make it 6cm so you have the full length
6 x 10.5= 63cm²
Plastic part of the can :
[tex]\pi \: r^{2} [/tex]
3cm is your radius so.
[tex]\pi \times 3 ^{2} = 28.27433388[/tex]
but its asking you to round to the nearest hundredth so
28.27cm²
Use a unit multiplier to convert
$12.00 per hour to dollars per
minute.
Answer:
$00.20 per min
Step-by-step explanation:
Technically $12.00 per hour is $12.00 per 60 min. So now take that and divide $12.00 by 60 and you get 20 cents per min.
Answer:
0.2$ per min
Step-by-step explanation:
Which relationships describe angles 1 and 2?
Select each correct answer.
Answer:
3
Step-by-step explanation:
Someone please help me answer this!!
Answer:
[tex]y^{6}[/tex]
Step-by-step explanation:
Combine exponents by multiplying (2x3=6)
Answer:
[tex]y^6[/tex]
Step-by-step explanation:
[tex](y^2)^3[/tex]
Use the rules of exponents to simplify the expression.
[tex](y^2)^3[/tex]
To raise a power to another power, multiply the exponents.
y^2x3
Multiply 2 times 3.
y^6
What was the shortest measurement?
Length of insects (in inches)
Answer:
[tex]1\frac{1}{2}[/tex] inches
Step-by-step explanation:
The shortest measurement is the smallest number with a x over it. In this case, the smallest one is [tex]1\frac{1}{2}[/tex] inches.
Find the volume of the beach ball and the volume of the toy ball. How many times greater is the volume of the beach ball than the volume of the toy ball?
A.THE VOLUME OF THE BALL IS 904 CUBIC INCHES. b. THE VOLUME OF THE BEACH BALL IS 678 CUBIC INCHES. c.the volume of the beach ball is 452 cubic inches
Answers:
Volume of beach ball = 904 cubic inchesVolume of toy ball = 113 cubic inchesThe beach ball is 8 times greater compared to the toy ball===============================================
Work Shown:
Beach ball
V = volume of sphere
V = (4/3)*pi*r^3
V = (4/3)*3.14*(6)^3 .... the beach ball has diameter 12, so radius is 6
V = 904.32
V = 904 cubic inches is the approximate volume of the beach ball
------------------------
Toy ball
V = volume of sphere
V = (4/3)*pi*r^3
V = (4/3)*3.14*(3)^3 .... the toy ball has diameter 6, so radius is 3
V = 113.04
V = 113 cubic inches is the approximate volume of the toy ball
--------------------------
Divide the two volumes to find that 904/113 = 8
This means that the beach ball is 8 times greater in volume compared to the toy ball
We can say
[tex]\text{Beach ball volume} = 8*\left(\text{toy ball volume}\right)[/tex]
The beach ball's volume is 7238.23and if we round that would be 7238 and the volume for the toy ball is 904.78 and if we round that it would be 905.So, it's around 7 times greater. The difference after they are rounded is 6,333.
Hope this helps.
2(x + 3)=x - 4
help me
Answer:
x = -10
Step-by-step explanation:
2(x+3) = x-4 --> multiply (x+2) times 2
2x+6 = x - 4 --> subtract x from both sides
x+6 = -4 --> subtract 6 from both sides
x = -10
Answer:
x = -10
Step-by-step explanation:
Simplify both sides of the equation.
2 (x+3) = x − 4
(2) (x) + (2) (3) = x + −4 (Distribute)
2x + 6 = x + − 4
2x + 6 = x − 4
Subtract x (1x) from both sides
2x + 6 − x = x − 4 − x
x + 6 = − 4
Subtract 6 from both sides
x + 6 − 6 = − 4 − 6
x = -10