Fuseina has ¢40000 to invest.She decides to put part of the money in an account paying 4% interest and the reminder into stocks paying 6% interest . Her financial advisor tells her that the total annual income from these investments should be¢2040. How much should she invest at each rate?
Answer:
The amounts invested in the account = ¢ 18000
and the amount invested in the stock = ¢40000-¢18000= ¢22000.
Step-by-step explanation:
Given that the account paying 4% interest and the stocks paying 6% interest.
Assuming she put ¢ x in the account, so
Income (interest) from the account = 4% of x = ¢ 0.04x...(i)
She has a total of ¢ 40000 to invest, so the remaining amount = ¢(40000-x).
As she put the remaining amount into stock, so
Income (interest) from the stock=6% of (40000-x)=¢(2400-0.06x)...(ii)
As total income from the investment is ¢ 2040, so on adding both the incomes from equations (i) and (ii), we have
[tex]2040=0.04x + (2400-0.06x) \\\\\Rightarrow 2040=2400 - 0.02x \\\\\Rightarrow 0.02x = 2400-2040=360 \\\\\Rightarrow x = 360/0.02=18000.[/tex]
So, the amount invested in the account = ¢ 18000
and the amount invested in the stock = ¢40000-¢18000= ¢22000.
The cost of a cell phone plan varies directly with the amount of data included. A 0.5 GB plan costs $14.95 per month. How much does a 3 GB plan cost?
Answer:
Step-by-step explanation: D. (24, 12), (36, 0)
Will mark brainliest
Number 1 and 3
Answer: Q1=20 Q2=39
Step-by-step explanation:
For question one all you have to do is multiply 20x35x8 giving you 5600. For question two just multiply 39x7x8 giving you 2184. Beat of luck.
The double number line shows that to make 4 apple pies takes 14 pounds of apples.Select the double number line that correctly labels the number of pounds of apples that are needed to make 1 , 2, and 3 pies.
Answer:
The number of pounds of apples that are needed to make
1 pie = 3.5 pounds of Apples
2 pies = 7 pounds of Apples
3 pies = 10.5 pounds of Apples
Step-by-step explanation:
The double number line shows that to make 4 apple pies takes 14 pounds of apples.Select the double number line that correctly labels the number of pounds of apples that are needed to make 1 , 2, and 3 pies.
Hence;
For 1 pie
4 apple pies = 14 pounds of apples
1 apple pie = x pounds
4 apple pies × x pounds = 1 apple pie × 14 pounds of apples
x pounds = 1 apple pie × 14 pounds of apples/4 apple pie
x pounds = 3.5 pounds of apples
For 2 pies
4 apple pies = 14 pounds of apples
2 apple pies = x pounds
4 apple pies × x pounds = 2 apple pies × 14 pounds of apples
x pounds = 2 apple pies × 14 pounds of apples/4 apple pie
x pounds = 7 pounds of apples
For 3 pies
4 apple pies = 14 pounds of apples
3 apple pies = x pounds
4 apple pies × x pounds = 3 apple pies × 14 pounds of apples
x pounds = 3 apple pies × 14 pounds of apples/4 apple pie
x pounds = 10.5 pounds of apples
Q2) f(x) = 2X^2 - 5x, g(x) = 3x^3 find g(5)
Answer:
g(5) = 375
Step-by-step explanation:
g(x) = 3x³
g(5) = 3(5)³
g(5) = 3(125)
g(5) = 375
The required value of g(5) is 375. which is determined by substituting the value of x = 5 in the function of g(x).
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The functions are given in the question,
f(x) = 2x² - 5x, g(x) = 3x³
We have to determine the value of g(5).
⇒ g(x) = 3x³
Substitute the value of x = 5 in the function of g(x) and then evaluate
⇒ g(x) = 3x³
⇒ g(5) = 3(5)³
Here (5)³ = 5 × 5 × 5 = 125
⇒ g(5) = 3(125)
Apply the multiplication, and we get
⇒ g(5) = 375
Therefore, the required value of g(5) is 375.
Learn more about the functions here:
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HELP AGAIN I WILL GIVE BRAINLISTT;))))*
Answer:
1. yes
Step-by-step explanation:
2. no or not enough
3.no.
4.no or not enough
5. yes
6. no or not enough...
I hope this helps. (I'm not sure what nit enough info means.)
Answer:
1. No
2. No
3. Yes
4. Not enough info
5. No enough info
6. Yes
I really hope this helps! Good luck!
how do you solve the y-intercept? And did I solve slope correctly?
Answer:
Step-by-step explanation:
y intercept is when the line crosses the y axis
so in this case its (0,0)
the slope is close but its actually 3/2 or 1.5
the equation is y=1.5x
what you did wrong here was misinterpet the slope formula
you did x/y instead of y/x
Emma needs some steel bolts to finish a patio deck project. If five steel bolts cost
$3.50, how much would 35 steel bolts cost?
Answer:
Step-by-step explanation:
$24.5
HELP IM BEING TIMED I WILL MARK BRAINLIEST
Answer:
the answers are (-80+28-56) and (4(-20+7y-14))
Step-by-step explanation:
answer please thank
Determine the two numbers between which v~2
OA 1.2 and 13
B.
1.4 and 1.5
c. 1.5 and 1.6
OD 1.3 and 1.4
Answer:
A
Step-by-step explanation:
If you are making a scale drawing of a girrafe that is 6m tall, and the height of the girrafe in your drawing is 3cm, what is the scale of the drawing?
Answer:
1cm to 200cm
Step-by-step explanation:
l of giraffe = 6m = 600cm
l of giraffe drawing = 3cm
scale = drawing : real = 3 : 600 = 1 : 200
Therefore the scale is 1cm to 200cm
1,200 tv; 10%discount
Answer:
The TV would cost $1,080.
Step-by-step explanation:
The discount would be $120. So $1,200 - $120 = $1,080.
Jacqui needs 8 cups of sugar to make 12 batches of cookies. What is the proportional equation that represents the situation?
Answer:
4
Step-by-step explanation:
The proportional equation that represents the situation is k=2/3.
Given that, Jacqui needs 8 cups of sugar to make 12 batches of cookies.
We need to find what is the proportional equation that represents the situation.
What is the proportional equation?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Based on the type of relationship two or more quantities share, the proportion can be classified into different types. There are two types of proportions.
Direct ProportionInverse ProportionThe number of cups of sugar used to make batches of cookies is a direct proportion.
8∝12
⇒8=12k
⇒k=8/12
⇒k=2/3
Therefore, the proportional equation that represents the situation is k=2/3.
To learn more about the proportional equation visit:
https://brainly.com/question/15179946.
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Maria and Jake and played the integer Card game, where players find the sum of their cards to see who has the highest score.
Maria has four cards : -4, -7, 11, and 3. What is the total score (sum) of Maria's hand?
Answer: 3
Step-by-step explanation:
to find the answer you solve what -4 -7 + 11 +3 and get 3.
Matthew correctly compared the values of the digits in 588.55. Which comparison could he have made?
A:The value of the tens digit is 10 times as much as the value of the tenths digit.
B:
The value of the hundredths digit is 10 times as much as the value of the tenths digit
c: The value of the ones digit is 1/10 f the value of the tens digit
d:
The value of the hundreds digit is 10 times as much as the value of the hundredths digit.
Answer:
Step-by-step explanation:
Given the decimal value 588.55
The ones digit value is 8
The tens digits value is 80
Taking the ratio
The ones digits/the tens digits = 8/80
The ones digits/the tens digits = 1/10
The ones digits = 1/10 * the tens digits '
Hence the value of the ones digit is 1/10 of the value of the tens digit.
Option C is correct
If your good at math PLEASE HELP ME!
Katherine bought some cans of sardines and corned beef. She gave the store owner Php 200 as payment. However, the owner told her that the amount is not enough. What could be the reasons? What mathematical statement would represent the given situation?
Answer:
need more info
Step-by-step explanation:
i need more information to answer this
what is the y-intercept of the function f(x) = -2/9x + 1/3
options:
1. -2/8
2. -1/3
3. 1/3
4. 2/9
please i just wanna watch quackity i don’t know this
you are renting a car. it will cost you $25 per plus $0.10 per mile a day. Write an equation to represent the daily cost of renting a car. what are the slope and y intercept of your equation?
Answer:
Slope: 0.1 Y-intercept: 25
Step-by-step explanation:
No matter how many miles you use, you will have to pay $25 right off the bat. To express this, your y-intercept would have to be 25.
For every mile you drive, you have to pay $0.10, or ten cents. This would make our slope 0.1.
This will be given 100 points, after it has been answered!
When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step?
does 3(x-1)=3x-3 have many infinitely solutions
Answer:
Yes - infinitely many solutions
Step-by-step explanation:
3x-3 = 3x-3
Ramon and justine are both watching brodcast both star at 7:00 a.M and ends at 9:00 a.M one one shows commercials every 17 minutes and 14 minutes. When will commercials show at the same time
Answer:
1:58 minutes after the showStep-by-step explanation:
Step one:;
given data
start time= 7:00 am
end time= 9:00 am
we are told that one broadcast shows commercial every 17minutes
and the other shows commercials every 14 minutes
now the time when they both sho commercial is given by the greates common multiple of the times 17 and 14
multiples of 17= 17,34,51,68,85,102,119,136,153,170,187,204,221,238
multiples of 14= 14,28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238
for the number above 238 is common to both
238minutes to hours= 3.96667
=3:58 minutes
this shows that commercials will show at the same time 1:58 minutes after the show
Visitors to the Royal Ranch Golf Paradise shoot an average of 88 on their 18-hole golf course. The standard deviation is 12. Between what two values does 68% of the data fall between?
Answer:
76 and 100
Step-by-step explanation:
We solve this question busing Empirical rule.
Empirical rule states that:
68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ
From the above question,
Mean = 88
Standard deviation = 12
Hence,
μ - σ
= 88 - 12
= 76
μ + σ
= 88 + 12
= 100
The two values that 68% of the data falls withing is 76 and 100
Amanda can jog 18 miles in 5 hours.
At this rate,how many miles can Amanda jog in 4 hours
First to Answer:
18m/5h = 3.6mph
3.6mp * 4h = 14.4mph
Amanda can go 14.4 miles in 4 hours
Katlyn sent 34,008 text messages last
year. If she sent the same number of
texts each month, how many messages
did she send in one month?
Answer:
2,834 texts
Step-by-step explanation:
There are 12 months in a year so divided the total number of texts by 12 then that will give you the monthly number of texts sent
Please help me by answering the following questions!!
Answer:
1. A number having 2, 3, 7 or 8 at unit's place is never a perfect square. In other words, no square number ends in 2, 3, 7 or 8. The number of zeros at the end of a perfect square is always even. In other words, a number ending in an odd number of zeros is never a perfect square.
2. Only those numbers, when squared will have 6 at their unit place are 4 and 6 Because 4×4 = 16 and 6×6 = 36(i dont know if this is what you were looking for)
3. the square root of 24336 consists of three digits and those digits are 156
Step-by-step explanation:
i am sorry my brain hurts lol, i will answer the 7 other questions later
Geena is meeting her brother at a cafe on Bradford Rd and Blanco Rd. She is currently on the corner of Lafayette Ave. And Blanco Rd. Her brother tells Geena that the shortest route is straight down Blanco Rd. Geena disagrees. She thinks the shortest route is down Lafayette Ave., turn left onto Smith St., then right on Blanco Rd. Reaches the cafe.
Answer:
Step-by-step explanation:
Answer: Geenas Brother
Step-by-step explanation: .25
The sum of 5 consecutive integers is 505,
What is the third number in this sequence?
Answer:
101
Step-by-step explanation:
hope that helps
What is an equation of the line that passes through the point (3,-1) and has a slope of 2?
y=2x-1
or
y=2x+(-1)
hope this helps:)