An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5900 and his stock in Company B was worth $1850. The stock in Company A has increased 20% since last year and the stock in Company B has increased 18%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answer:
Step-by-step explanation:
Final Answer: 19.5%
The total percentage 19.5% increase in the investor's stock account
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5900 and his stock in Company B was worth $1850.
The total worth is $5900 + $1850 = $7750
The stock in Company A has increased 20% since last year.
So,
20% of 5900,
= 20 x 5900 /100
= $1180
And the stock in Company B has increased 18%.
So,
18% of 1850,
= 18 x 1850/100
= $333
The total increased amount,
= $333 + $1180
= $1513
The increased percentage,
1513 = n x 7750/100
n = 1513 x 100/7750
n = 19.522
n = 19.5% to the nearest tenth.
Therefore, 19.5% is the required percentage.
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At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 58 degrees. Find the height of the tree.
Answer:
height of tree is 80 feet.
Step-by-step explanation:
Given:-
Distance of point from tree's foot:- 50 feetAngle of elevation:- 58 degreesTo find :-
Height of treeSolution:-
In the given figure we can see that AB is perpendicular , BC is base and AC is hypotenuse.
We know ,
tan 58° = AB/BC
1.6 = AB/50 feet
(Cross Multiplication)
80 feet :- AB
Note:- Figure is in attachment and is a rough work.
solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
thankyou ~
Answer:
x = 3, 2
Explanation:
⇒ x² - 5(x) + 6 = 0
breakdown
⇒ x² - 3(x) - 2(x) + 6 = 0
takeout common terms
⇒ x(x - 3) - 2(x - 3) = 0
factor
⇒ (x-3) ( x-2) = 0
simplify
⇒ (x-3)=0, ( x-2) = 0
final answer
⇒ x = 3, 2
An athlete runs in a straight line along a flat surface. He starts from rest and for 20 seconds accelerate at a constant
rate. In this first 20 seconds he covers a distance of 100m. For the next 10 seconds he runs at a constant speed and
then decelerates at a constant rate for 5 seconds until he stops.
a) What is the total distance that he ran?
[5]
Another athlete runs along the same track, starting from rest and she accelerates at the same rate as her friend. She
however only accelerates for 10 seconds before running at a constant speed.
Answer:
probably 200
Step-by-step explanation:
or something like that
When rounding to the nearest hunderth, which numbers below will round to 187.55? Select all that apply
A)187.556
B)188.454
C)187.548
D)187.553
E)187.550
Answer:
C, D, E,
Step-by-step explanation:
All of these will round to 187.55
Jessica bought a $30 outfit for $17. What percent discount did she receive?
Around 57%
Step-by-step explanation:17 / 30 = .56666666...
Move two decimal places to the left;
56.66666...
Estimate: 57%
Answer:
43.33%
Step-by-step explanation:
30 - 17 = $13
% discount = 13*100 / 30
= 43.33%
Ella rolls a die and then flips a coin. The sample space for this compound event is represented in the table (H is heads and T is tails). Complete the table and the sentence beneath it. Die 1 2 3 4 5 6 Coin heads H-1 H-2 H-3 H-5 H-6 tails T-1 T-3 T-4 T-5 The size of the sample space is .
The size of the sample space is { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Sample space is the set of all possible outcome the considered random experiment can result to.
Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}.
We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.
Ella rolls a die and then flips a coin.
The sample space for this compound event is represented in the table (H is heads and T is tails).
Die 1 2 3 4 5 6
Coin: heads H-1 H-2 H-3 H-5 H-6
tails T-1 T-3 T-4 T-5
Hence, the size of the sample space is { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }
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Answer:
hope this works for you
Step-by-step explanation:
Find the 10th term, 18, 72,288,...
Step-by-step explanation:
a = 18
n = 10 th term
difference (d) = 72-10 = 62
an ( n th term ) = a + (n-1)d
a10 ( 10 th term = 18 + (10-1)62
= 18 + 9×62
= 18 + 558
10 the term = 576
Manu had ₹ 120. He bought one book for ₹ 25.75 and a pen for ₹ 12.50. How much money does he have now?
Answer:
₹ 81.75
Step-by-step explanation:
Total = ₹ 120.
He bought one book for ₹ 25.75 and a pen for ₹ 12.50.
₹ 25.75 + ₹ 12.50 = ₹ 38.25
How much money does he have now?
₹ 120 - ₹ 38.25 = ₹ 81.75
₹81.75
you just minus 120 from 25.75 and 12.50
A shop sells pairs of trainers for £68 each. They make a percentage profit of 70% on each pair.
What was the cost of each pair of trainers to the shop?
Answer:
70% of £68 gives £47.6 for each trainer
Answer:
100-70/100 *£68
Step-by-step explanation:
£40.8
therefore, each pair of trainers cost£40.8
3x + 5
it should be equal to 65 i just need to know how to do it
Answer:
x = 20
Step-by-step explanation:
to make 3x + 5 = 65, first you can subtract 5 from 65, then divide. 60/3, which equals 20, so x = 20
Find the slope and y-intercept for the graph of the equation
6x - 4y = -36
Answer:
[tex]y = \dfrac{3}{2} x + 9[/tex]
Step-by-step explanation:
We would like to write the given equation in slope intercept form of the line .
[tex]\longrightarrow 6x - 4y = -36 [/tex]
The slope intercept form of the line is [tex] y = mx + c [/tex] , where
[tex] m[/tex] is the slope [tex] (x,y)[/tex] is a point on the line .[tex] c [/tex] is the y intercept .we can rewrite the given equation as ,
[tex]\longrightarrow 6x - 4y = -36 \\ [/tex]
[tex]\longrightarrow -4y = -36 -6x \\ [/tex]
[tex]\longrightarrow -4y = -6( x + 6)\\[/tex]
[tex]\longrightarrow y =\dfrac{-6}{-4}(x + 6)\\[/tex]
[tex]\longrightarrow y = \dfrac{3}{2}(x+6)\\ [/tex]
[tex]\longrightarrow y = \dfrac{3}{2}x +\dfrac{3}{2}\times 6\\[/tex]
[tex]\longrightarrow \underline{\underline{\pmb{ y =\dfrac{3}{2}x +9}}}{}[/tex]
This is the required equation of line in slope intercept form , with ;
[tex]m = \dfrac{ 3}{2} [/tex][tex]c = 9[/tex]Answer:
Refer to the attachment
Please help I'll mark brainliest
Answer:
Athletes swim 3/20 kilometer for every kilometer they run.
Step-by-step explanation:
3/20 = .15
multiply 10 by 3/20
10 * .15 = 1.5
Answer:
3/20 kilometers for every kilometer ran
Step-by-step explanation:
divide
At Daniel's Swimwear, there are 76 bikini styles and 4 other types of swimsuit. What percentage of the swimsuit styles are bikinis?
Total swimwear = 76 bikinis + 4 other types = 80 total
divide number of bikinis by total swimwear then multiply by 100:
76/80 = 0.95
0.95 x 100 = 95%
Answer: 95% are bikinis
Solve completely (all missing sides and all missing angles) using trig ratios or laws. Round to the nearest tenth.
Answer:
Step-by-step explanation:
3. Use Cosine law to find the length of the unknown side (PR)
q² = p² + r² - 2prCos Q
q is the opposite side of ∠Q;
p is the opposite side of ∠P; p = 33
r is the opposite sides of ∠R ; r = 67
q² = 33² + 67² - 2* 33*67 Cos 19°
= 1089 + 4489 - 4422 * 0.95
= 1089 + 4489 - 4200.9
= 1377.1
q = √1377.1
q = 37.1
PR = 37.1
To find the angle use law of sin
[tex]\sf \dfrac{q}{Sin \ Q} =\dfrac{p}{Sin \ P}\\\\\\\dfrac{37.1}{Sin \ 19}=\dfrac{33}{Sin \ P} \\\\\\\dfrac{37.1}{0.33}=\dfrac{33}{Sin \ P}\\\\\\37.1* Sin \ P = 33 *0.33\\\\Sin \ P =\dfrac{33*0.33}{37.1}[/tex]
Sin P = 0.3
[tex]P = Sin^{-1} 0.3\\[/tex]
P = 17.5°
∠R = 180 - (19 + 17.5)
= 143.5°
This hard anyone help?
Answer:
Step-by-step explanation:
The debate team has 2 members. Each member sold c coupon books as a fundraiser. Write
an expression that shows the number of coupon books the club sold.
Which statements are true of continuous data?
It is used in pictographs.
It is used in line graphs.
It can be any value within a range.
It can only have certain values.
Answer:
It is used in line graphs.
It can be any value within a range.
Step-by-step explanation:
Line graphs use :
Track numerical data over time within any value range therefore it is considered continuous data.
A line graph is a way to display data (information) that changes over time using a series of points joined with a straight line.
The line along the bottom is called the horizontal or (x-axis). Use this line to show time, days, weeks, months , or years.
The line up the side is called the vertical or (y-axis) is the value being measured, it starts at 0 and number it in even increments ; separated by twos, fives, tens, or hundreds.
a thousand dollars is left in a credit union drawing 7% compounded monthly. what is the balance at the end of 10 years
Answer:
$9400
Step-by-step explanation:
You start with $1000 and get 7% more every month.
7% of 1000 is 70 so that means $70 is added to the credit union each month.
So you add $70 dollar to $1000 for every month there is which would be 12 months timers the ten years:
1000 + (70 x 12 x 10) = 9400
Rhombus J K L M is shown. The length of J K is 2 x + 4 and the length of J M is 3 x.
What is the length of a side of rhombus JKLM?
4 units
8 units
12 units
16 units
Answer:
12 units
Step-by-step explanation:
Properties of Rhombus:
1. length of all sides are equal.
2. Diagonals bisect each other at right angles
As the length of all sides are equal,
JM = JK
3x = 2x + 4
Subtract 2x from both sides,
3x - 2x = 4
x = 4
JM = 3*4 = 12 units
& TW CV Name: Math Buzz Eden's mom bought 3 cartons of organic eggs at the farmer's market. Each carton holds a dozen eggs. After she got home, she combined the eggs she bought at the market with the 4 eggs left in the refrigerator. Determine the total number of eggs. Write an equation with the lettere to represent the unknown quantity and solve. equation:
Answer:
40 eggs
Step-by-step explanation:
(12 x 3) + 4 = x
36 + 4 = x
40 = x
40 eggs total
Please help me .................
that is correct
Step-by-step explanation:
A rule for creating a pattern is given below.
Rule: Subtract 7 from x to get y.
Which ordered pair, (x, y), works for the rule?
Choose 1 answer:
(Choice A)
(10, 17)
(Choice B)
(7, 0)
(Choice C)
(14, 2)
Answer:
(Choice B)
Step-by-step explanation:
(7, 0)
7 - 7 = 0
Here, we can see that when 7 is subtracted from x, we get 0 (our y)
Hope this helps!
Find the Perimeter
Length - 152 cm
Breadth- 120 cm
Step-by-step explanation:
Perimeter=2(l+b)
=2(152+120)
=544 cm
I don’t understand this question
Answer:
First pair: -4 and 8
Second pair: -2 and 6
Third pair: -1 and 5
Step-by-step explanation:
-4 + 8 = 4
-2 + 6 = 4
-1 + 5 = 4
Hope this helps
Here are two fractions.
3/10 5/7
Work out which of the fractions is closer to 1/2
You must show your working.
Answer:
5/7
Step-by-step explanation:
Umm because the denominator 7 is less than 10 and 7 is the nearest number to 1/2
I hope it helps
Mike spins a spinner and flips a coin. What
is the probability of getting E on the spinner
and the coin landing on heads?
Which inequality represents all possible solutions of -6n < -12?
A n<72
B n>2
C n<2
D n> 72
the last question i posted someone tried to ip grab me
[tex]-6n < -12\\\\\implies 6n > 12\\\\\implies n > \dfrac{12}6\\\\\implies n > 2[/tex]
If a puzzle measures 14 in x 16 in, how many inches of frame for the puzzle?
a cone has a volume of 18π in^3. What are the possible dimensions of the cone? check all that apply..
A. diameter 1in, height 8in
b. diameter 6in. height 6in
c. diameter 3in, height 6in
d. diameter 6in, height 3in
e. diameter 4in, height 13.5in
f. diameter 13.5in, height 4in
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Step-by-step explanation:
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