The amount invested in each stock, the stock interest rate and the
duration of the investment, determines the interest.
Brian invested $3,000 in the stock that pays 5% dividend and $3,000 in the stock that pays 9% to make a total investment of $6,000.Reasons:
Let X represent the sum of the amount Brian invested, we have;
Amount invested in stock paying 5% dividend = [tex]\dfrac{X}{2}[/tex]
Amount invested in stock paying 9% dividend = [tex]\dfrac{X}{2}[/tex]
Total annual interest = $420
Required:
The amount invested in the stocks
Solution:
The amount invested is found as follows;
[tex]\dfrac{X}{2} \times 5\% + \dfrac{X}{2} \times 9\% = 420[/tex]
0.025·X + 0.045·X = 420
0.07·X = 420
[tex]\displaystyle \mathrm{The \ amount \ invested , \, X} = \frac{420}{0.07} = \mathbf{ 6,000}[/tex]
The amount he invested = $6,000 ($3,000 in each stock)
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Is there a proportional relationship between a planet’s diameter and its distance from the sun? Explain.
Answer:
Yes there is a proportional relationship
Step-by-step explanation:
If we look at earth and the sun, the diameter of the sun is 108 times that of the diameter of earth, and the average distance between the earth and sun is 108 times the suns diameter.
Suppose all counting numbers are arranged in columns as shown below. Under what letter will the number 2019 appear?
Answer: b
Step-by-step explanation:
you want to frame a photo from your trip to send home selective frame that suitable for a photo with a perimeter of 70 cm
Susie catches 15 butterflies and lets 6 butterflies go for three days in a row
Answer:
Sorry don't report pls I need the points
Step-by-step explanation:
A taxi service charges $1.00 for the first 1/10 of a mile and $0.10 for each additional 1/10 of a mile after that. fill in the table.
distance traveled
(miles)
9/10
2
3 1/10
10
price
?
(dollars)
Is this a proportional relationship?
Type yes or no
9414 1404 393
Answer:
$1.80, 2.90, 4.00, 10.90
not proportional
Step-by-step explanation:
For some distance d, we have a charge f(d) that is ...
[tex]f(d)=\begin{cases}1.00&0\le d\le0.1\\1.00+0.10\cdot\dfrac{(d-0.1)}{0.10}&0.1<d\end{cases}[/tex]
for d > 0.1, this simplifies to d +0.9.
Then the charges are ...
[tex]\begin{array}{cc}\underline{\text{miles}}&\underline{\text{charge}}\\9/10&1.80\\2&2.90\\3\ 1/10&4.00\\10&10.90\end{array}[/tex]
The different relation for the first 1/10 mile indicates ...
the relationship is not proportional.
WILL GIVE YOU BRILLIANT
State whether the graph of the linear relationship is a solid line or a set of unconnected points. Complete the explanation of your reasoning. The relationship between the number of $5 lunches you buy with a $145 school lunch card and the money remaining on the card because you select ) The relationship is a select ) buy a (select
Answer:
The relationship will be a solid line.
Step-by-step explanation:
The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card.
The relationship will be a solid line as it is a linear and common slope. Each time you buy lunch, the amount in the card will decrease by $4.
Let the number of lunches you buy be = x
Let the amount remaining in the card be = y
So, equation forms:
When you buy 1 lunch, or x = 1
When x = 2
When x = 3
We can see that the decrease is gradual and same.
You can also see the graph attached that a straight line is formed.
Given: HG I HI, EI I HI ZEHI~= ZGIH
Prove: ∆GHI =~ ∆EIH
[tex]\red{\rule{45pt}{999999pt}}[/tex]
The total cost of going to the theatre for 18 people is £803.16.
How much will each person need to pay to cover the total cost?
C*C*C=???
helpp me with this
Check the picture below.
What is the slope of the line x=6
Answer:
undefined
Step-by-step explanation:
Vertical lines never have a defined slope as you can never divide a number by zero
The equation of a line in standard form is:
y
=
m
x
+
b
Where
m
is our slope
b
is our y-intercept
In our case we are only given
x
=
6
x
=
6
is a vertical line therefore the slope is undefined.
It took Jasmine 1 day and 4 hours to travel 1,960 miles. What was her average speed in miles per
hour?
Answer:
it took Jasmine 479 miles per hour
Need help !! From mathematics only
Answer:
1) 9h² - 3h + 2h² when h= -1
11h²- 3h
11(-1)²-3(-1)
11+3
14
2) -6m + 3t +2m² when m= 3 and t=-1
-6( 3) +3(-1)+2(3)²
-18 -3 +18
-3
3) 7g² - 2c³/ 3g - c² when g=2 and c= -1
7(2)² - 2(-1)³ / 3(2) - (-1)²
28 +2 / 6-1
30/5
6
BETWEEN WHAT TWO INTEGERS IS THE SECOND ZERO?
Answer:
between 2 and 3
Step-by-step explanation:
see how it crosses the x axis a little after 2, so it's between 2 and 3
3. Sandra earns P62,954 per month. Determine the following Percentage Amount of Deduction Whld Tax 24% SSS 1.4% Philhealth 1.1% SSS 1.4% Pag-ibig 0.2% Total Deduction Net Pay
Sandra's total deductions are $16,808.71, and her net pay is $46,145.29.
Given that Sandra earns $ 62,954 per month, to determine the percentage of deductions the following calculations must be performed:
Withhold Tax 24% 62,954 x 0.24 = 15,108.96 SSS 1.4% 62,954 x 0.014 = 881.35 Philhealth 1.1% 62.954 x 0.011 = 692.49 Pag-ibig 0.2% 62.954 x 0.002 = 125.90 Total Deduction = 15,108.96 + 881.35 + 692.49 + 125.90 = 16,808.71 Net Pay = 62,954 - 16,808.71 = 46,145.29
Therefore, Sandra's total deductions are $16,808.71, and her net pay is $46,145.29.
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Pls help asap the best I can do is 50 points
Answer the ones where the zeros are those are the one that I did bad or left blank
Step-by-step explanation:
8.a.
a function is something that looks like
y = ax + b or similar.
it describes the way to calculate the result for whatever input value you can come up with.
so,
C = 12×d + 8
you could also say
C(d) = 12×d + 8
as, when you rent, you have to pay these $8 in any case, no matter how long you stay, and you need to pay $12 per day you stay.
funny thing is : you understood this perfectly well when doing b.
c.
the constant rate of change is always the factor of the input variable. here : 12
it is the ratio of (y change) / (x change)
or here (C change / d change).
it indicates that for any increase of d by 1 (staying one day longer) the charges C increase by 12.
9.a.
remember, what we just said about the rate of change ?
it is (result change) / (input change).
between 2010 and 2015
the input changed by +5 (from 2010 to 2015).
the result changed by +6.25 (from 37 to 43.25).
the rate of change is therefore
6.25/5 = 1.25 = 1 1/4 = 5/4
the function is therefore
population in millions = (years since 2010)×5/4 + 37
p = y×5/4 + 37
b.
now we want to find the number of years (y) so that the result of that equation is 50.
50 = y×5/4 + 37
13 = y×5/4
52 = 5y
y = 52/5 = 10.4
so, this will be during the 11th year after 2010 = 2021.
10.
be careful and concentrate.
you see that the sequence goes up 20, when n goes up 5 (and not just 1) ? there was your initial mistake.
a.
again, remember the change rate : it is result change / input change.
so, we have here 20/5 = 4.
so,
C(n) = 4×n + 50
b.
n = 12
C(12) = 4×12 + 50 = 98
c.
now we have C(n), and want to find for which n this is true.
C(n) = 78
78 = 4×n + 50
28 = 4×n
n = 7
after 7 visits the costs are 78.
there are the basic costs of 50 (for n = 0 or 0 visits) and then extra 4 for every visit.
d.
the x-axis is for the number of visits, the y-axis for the costs.
so, the line starts at the point (0, 50), and then passes through the points of the original table (5, 70), (10, 90), (15, 110). and if you want you can calculate the points for higher x (or number of visits).
A truck is carrying
10^3
bushels of apples,
10^2
bushels of grapes, and
10^1
bushels of oranges. Each bushel of apples weighs 32 pounds, each bushel of grapes weighs 25 pounds, and each bushel of oranges weighs 42 pounds. What is the total weight of the fruit in pounds?
A.
3,592 pounds
B.
5,742 pounds
C.
32,299 pounds
D.
34,920 pounds
[tex]\begin{cases} \stackrel{apples}{10^3}\\ \stackrel{grapes}{10^2}\\ \stackrel{oranges}{10^1} \end{cases}\qquad \begin{cases} \stackrel{lbs}{32}\\ \stackrel{lbs}{25}\\ \stackrel{lbs}{42} \end{cases}\qquad \begin{array}{rllll} 10^3\cdot 32\\ 10^2\cdot 25\\ +\qquad 10\cdot 42\\\cline{1-1} 34920&lbs \end{array}[/tex]
Given 4(3x-8)=52 prove x=7
Please help me
Answer:
4(3x-8)=52
divide both sides by 4
4/4(3x-8)=52/4
3x-8=13
add both sides by 8
3x-8+8=13+8
3x=21
divide both sides by 3
3x/3=21/3
x=7
Step-by-step explanation:
Step-by-step explanation:
4( 3x-8) = 52
12x - 32 = 52
Group all like terms
12x = 52 + 32
12x = 84
Divide both sides by 12
12/12x = 84/12
x = 7
Therefore, x = 7.
Hope it helps. Please mark me brainliest.
Identify the type of function graphed to the right.
o linear
exponential
other
As x increases by 1 unit, what is the exponential
growth factor?
9514 1404 393
Answer:
exponentialgrowth factor 3Step-by-step explanation:
If the function showed linear growth, it would be a straight line. Since it curves upward, it will be either "exponential" or "other." The growth factor seems more or less constant, so we can claim the curve to be exponential.
When x=1, y=1; when x=2, y=3. The increase in x by 1 unit causes the value to grow by a factor of 3/1 = 3. When x=3, y=9, which is growth by another factor of 3. The growth factor is 3.
Answer:
Am working on that too this is for everyone! here you go
Step-by-step explanation:
Edge 2021!
Find the product using formula ...
formula = ( a + b ) ( a - b )
a) 1.2 × 2.8
Step-by-step explanation:
1.2 × 2.8
(2 - 0.8 )(2 + 0.8)
2² - (0.8)²
4 - 0.64
3.36
[tex]\begin{gathered}1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36\end{gathered}
[/tex]
Answer:3.36
Hope it helps.
Do comment if you have any query.
find the gcf of 27 and 3
Answer:
Step-by-step explanation:
27x3=81
Answer:
It's 3 hope it's help....
For exercises 7-9 write expressions for the area of each rectangle in two different ways. Then find the area using each expressions.
Answer:
No Questions are shown here
Step-by-step explanation:
Just says "For exercises, 7-9 write expressions for the area of each rectangle in two different ways. Then find the area using each expression."
amir is buying tickets for the $120 million lottery. If he buys tickets with his brother
Answer:
$20 million.
Step-by-step explanation:
Amir is buying tickets for the $120 million lotteries. If he buys tickets with his brother, then they will split the money equally. But he is also considering buying tickets with his brother’s four friends, and they will each get
The illustration provided in the question is an example of an inverse variation.
What is an inverse proportion?
When there is an inverse proportion, as one of the variable increases, the other variable decreases. As the number of people who share the money increases, the amount of money each person would get would become smaller.
The formula used to represent inverse proportion is:
y = k/x
• y = dependent variable
• x = independent variable
• k = constant of proportionality
Here is the complete question: Amir is buying tickets for the million lottery. If he buys tickets with his brother, then they will split the money equally. But he is also considering buying tickets with his brother's four friends, and they will each get million. Is this an example of direct, inverse, or joint variation?Joint variationInverse variationDirect variation
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What is the name of the process you use to rewrite a quadratic function from standard form into vertex form?
Graphing the transformation
Completing the square
Creating vertex form
Transforming the parent function.
Answer:
completing the square
Step-by-step explanation:
You can change a quadratic equation from standard form to vertex form by completing the square!
Some home computers can do a calculation in 2 x 10 ? seconds. Write this number in standard form.
2 × 10 = 20
see Picture.
Which equation shows y=3x−15 in standard form?
5x−15y=−1
5x−15y=1
15x+5y=−1
15x−5y=1
Answer:
c 5x -15y =1
5x-15y=1
-5x -15y= 1 -5x change the signs on both sides of the equation
15y = -1 +5x divide both sides by 15
y = -1/15 + 1/3 x Reorder the terms
y = 3x-15
Step-by-step explanation:
Hope this helps:)
The population of a city decreases by 1.1% per year. If this year's population is
79,000, what will next year's population be, to the nearest individual?
Answer:
Step-by-step explanation:
100% - 1.1% = 98.9% = 0.989
79000(0.989)¹ = 78,131
or
1.1% = 0.011
79000(0.011) = 869
79000 - 869 = 78,131
Which expression is equivalent to (1/square root y)^-1/5
Answer:
y^(1/10).
Step-by-step explanation:
(1/√y)^-1/5
= (y ^-1/2)^-1/5
= y^(-1/2 * -1/5)
= y^(1/10)
Answer:
Step-by-step explanation:
(1/sqrt(y) )^-1/5 To get rid of the minus, turn the sqrt(y) over.
(sqrt(y))^1/5 Represent the square root of y as y^(1/2)
(y^(1/2))^(1/5) Multiply the powers
y ^ 1/10
Kobina sells apple pies for 10gh each.kojo sells beverages for ghc1 each.if kobina sells 23 apple pies and kojo sells 17 beverages,what is the total in sales for both producs combined?
Answer:
680
Step-by-step explanation:
Based on the given conditions, formulate: 17 × ( 23 + 17 )
Calculate the sum or difference: 17 × 40
Calculate the product or quotient: 680
get the result: 680
Answer: 680
(Hope this helps can I pls have brainlist (crown)☺️)
1. A cylindrical jar has a radius of 5 inches and a height of 9 inches. The jar is filled with marbles that have a volume of 20 in3. Use 3.14 for pi. Show work. Complete sentences.
a. What is the volume of the jar?
b. How many whole marbles can fit in the jar?
who ever gets the right answer will get brainliest ;)
Answer:
a. Volume = π15.02 9.0=6361.73
b. I am very sorry, I don't know
Step-by-step explanation:
Please help and explain if you can the answer because I don’t know what I’m doing
Answer:
Step-by-step explanation: