Answer:
-9x-14
Step-by-step explanation:
Peter purchases a baseball card for $150 as an investment. His research tells him that the value of
the card should double every 3 years. When will the card reach a value of $ 4000?
Answer:
6 years
Step-by-step explanation:
Given
[tex]Initial\ Investment = 150[/tex]
[tex]Ratio = double[/tex]
Required
When will it get to 4000
This question illustrates a geometric progression and will be solved using:
[tex]T_n = ar^{n-1}[/tex]
In this case;
[tex]T_n = 4000[/tex]
[tex]r = double = 2[/tex]
[tex]a = 150[/tex]
So, we're to solve for n
[tex]4000 = 150 * 2^{n - 1}[/tex]
Divide through by 150
[tex]\frac{4000}{150} = 2^{n-1}[/tex]
[tex]26.67= 2^{n-1}[/tex]
Take Log of both sides
[tex]Log26.67= Log2^{n-1}[/tex]
Apply law of logarithm
[tex]Log26.67= ({n-1})Log2[/tex]
Take Log values
[tex]1.42602301569 = (n - 1) * 0.30102999566[/tex]
Make n - 1 the subject
[tex]n - 1 = \frac{1.42602301569}{0.30102999566}[/tex]
[tex]n - 1 = 4.73714591984[/tex]
Add 2 to both sides
[tex]n = 1 + 4.73714591984[/tex]
[tex]n = 5.73714591984[/tex]
[tex]n = 6[/tex] (Approximated)
Hence, it'll take 6 years
If r=8 units and h=11 units, what is the volume of the cylinder shown above? Use 3.14 for pi. HELP ME
Answer:
The answer is
2210.56 units³Step-by-step explanation:
Volume of a cylinder is given by
V = πr²hwhere
r is the radius of the cylinder
h is the height
From the question
r = 8 units
h = 11 units
Substitute the values into the above formula and solve
V = 3.14(8)²(11)
= 3.14(64)(11)
= 3.14 × 704
We have the final answer as
V = 2210.56 units³
Hope this helps you
what is another way to represent this solution set?
Answer:
What solution set? I think you forgot to add a picture..
What solution do you need help with? :)
Joe works for McDonalds. He was required to buy a uniform that costs $35 and he will earn $10 per hour. The
following function represents his overall income the first month. f(h) = 10h - 35. The h represents the hours he
works. What is the independent variable?
Answer:
The independent variable is the number of hours Joe works.
You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $2.79 a pound, which is cheaper than your usual neighborhood store, which sells it for $3.19 a pound. Is it worth the extra drive?
What is 4 less than three sevenths of y
Answer:
[tex]\frac{3}{7}y - 4[/tex]
Step-by-step explanation:
Let's start with the part "three sevenths of y". In this statement, "of" means multiply or times. So, let's apply that. It would now be three sevenths times y. Three sevenths times y looks like this: 3/7y"4 less than" means subtraction because less than means subtractions. So our first part is 3/7y. Now let's add less 4 less than: 3/7y - 4.I hope this helps!
Jordan will hike a 10 mile trail at a rate of 2 mi/h. Write a linear equation to represent the distance of the trail that Jordan still has to hike after x hours. What does the y-intercept of the equation represent?
Answer:
y = 10 -2x; 10 is the length of the trail
Step-by-step explanation:
Jordan's remaining distance starts at 10 miles, and decreases 2 miles each hour:
y = -2x +10
The y-intercept is the length of the trail.
Kendra earns $11.60 per hour working at the movie theater. Each week, she donates of
10
her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8 hours
2
last week, how much money did she donate to the charity?
Answer:
$9.86
Step-by-step explanation:
First, write both numbers in the same form. Convert 8
1
2
to a decimal.
8
1
2
= 8+
1
2
= 8+
1×5
2×5
= 8+
5
10
= 8+0.5
= 8.5
Multiply.
11.6
× 8.5
580
+ 9280
98.60
Kendra earned $98.60 last week.
Now multiply to find how much money Kendra donated to the charity last week. She earned $98.60, and she donates
1
10
of her earnings each week.
First, write both numbers in the same form. Convert
1
10
to a decimal.
1
10
=0.1
Multiply.
98.6
× 0.1
9.86
Kendra donated $9.86 to the charity last week.
Is the sum of √16 and 1.5 rational or irrational?" Justify and explain your answer.
Answer:
Rational
Step-by-step explanation:
The square root of 16 is 4, and 4 + 1.5 is = to 5.5. An irrational number is defined as infinite and never-ending. Since 5.5 is not infinite, we can conclude that it isn't irrational.
PLEASE HELP! An angle's measure is equal to 24 less than its complement. Find the measure of the angle.
The Larger complement angle is 57 degrees and Small angle is 33 degrees.
Given about the complement angles.
Complement angles means, the two angles will add up to 90 degrees.
Then angles is x+(x-24)=90
⇒2x=90+24
⇒2x=114
⇒x=57
So, the larger angle is 57 degrees.
small angle is 90-57=33 degrees.
Learn more about complementary angles in https://brainly.ph/question/3668.
#SPJ10
PLEASE HELP ASAP!!!!
Answer:
11
Step-by-step explanation:
Since M is on LN,
LM + MN = LN.
[tex](2x+7)+3x=4x+9[/tex]
Remove brackets:
[tex]2x+7+3x=4x+9[/tex]
Add the x terms:
[tex]5x+7=4x+9[/tex]
Subtract 7 from both sides:
[tex]5x+7-7=4x+9-7[/tex]
[tex]5x=4x+2[/tex]
Subtract 4x from both sides:
[tex]5x-4x=4x+2-4x[/tex]
[tex]x=2[/tex]
[tex]LM=2x+7=2(2)+7=4+7=11[/tex]
A map scale shows that 3 km = 2 cm. How many cm would represent 15 km on the map?
cm
Answer:
3 = 2
15 = 10
10 cm
Step-by-step explanation:
5^7/5^5 hurrrrrrrrryyyyyyyyyyyyy
Answer:
25
Step-by-step explanation:
HELP ME PLS
A media research survey showed that one evening, 2/3 of all U.S. households had their televisions on, and 3/8 of them were watching a World Series baseball game. What fraction of the U.S. households was watching the game?
Answer:
sfhjty
Step-by-step explanation:
does the number 15/3 belong to the set of natural/counting numbers?
I NEED HELP ASAP
Evaluate the expression for r = –3.
15 + 6r =
Answer: -3
Step-by-step explanation:
Since we are given the value of r, we can plug that value into the expression and solve.
15+6(-3) [multiply]
15-18 [subtract]
-3
Now, we know that the expresison is equal to -3.
ANSWER ASAP FOR QUIZ
find x
x- 3 = 2 - 3
Answer:
x=2
Step-by-step explanation:
x-3=2-3
+3 +3
x=2
the 3 is being canceled out by the positive, because 3-3=0 therefore it's just canceled out, leaving you with x=2.
Reduce each fraction below 6/6= 10/2= 2/6=
Answer:
6/6 = to 1
10/2=to 5
2/6= to 1/3 or 0.3333333333
Step-by-step explanation:
6/6 divide by 1
10/2 10 divide by 2
2/6 reduce to 1/3 or o.3333333333
Calculate the mean, median, and mode for the set 7, 9, 8, 8, 10, 9, 8, 7, 8, 6, 9, 5, 6, 8, 9, 7, 7, 8, 10, 8 please answer asap
Step-by-step explanation:
Mean (Average):7.89474. Median (Middle):8. Mode (Most Common):8
Answer:
Mean= 7+9+8+8+10+9+8+7+8+6+9+5+6+8+9+7+7+8+10+8/20= 7.85
Mode= 8(the most repeated number)
Median= 7+8/2=7.5 (the two numbers in the middle divided 2)
a saline solution has a concentration ratio of 2.5mg of salt in 100ml of solution. How many mg of salt will be needed to produce 500ml of a saline solution having the same concentration?
Answer:
12.5mg
Step-by-step explanation:
500ml÷100ml= 5
2.5mg×5= 12.5mg
find the value of x if h is the midpoint of gj, gj equals 4x-6, and gh=27 - huryyyyyyy please.
Answer: X=15
Step-by-step explanation:
GH+HJ= GJ
27+27=4x-6
54=4x-6
60=4x
15=x
Nina’s total trip to and from work is 14 miles. If she works 243 days this year, how many miles will she drive to and from work?
Answer:
3,402
Step-by-step explanation:
Step 1:
243 × 14
Answer:
3,402
Hope This Helps :)
Answer:
3402
Step-by-step explanation:
By treating savings as an ___ it guarantees that you will save the money instead of spending it
PLZ HELLLLLLPPPPPPPP!
WILL MARK BRAINLIEST!!!!!
Answer:
more than one than its a and b but only one than its a
Solving equations to find angle measure
Show work please
Step-by-step explanation:
2x + 1 + x - 13 = 180° because these angles are supplementary
3x - 12 = 180°
3x = 180 + 12
3x = 192 divide both sides by 3
x = 64
2x + 1 ➡ 2 × 64 + 1 = 129°
x - 13 ➡ 64 - 13 = 51°
Question 4 -
Next >
What is the mode given the data set: 97, 82, 87, 97, 100, 75, 81?
A
81
B.
82
C.
97
D.
100
what’s the mode
Can someone please help
Answer:
-6 degrees F
Step-by-step explanation:
We start with -8F as the temperature. It fell 10 degrees to 2F, then fell 8 degrees to -6F.
Answer:
The answer is 10 because -8 plus 10 is 2 - (-8) is still 10 however that's in a calculator the correct answer is -6
#3 - Simplify the expression. Type your answer with all lowercase letters and no spaces. Type your p variable first and g variable second in your answer. * 2(5p+2g)+5g
Answer: 10p+9g
Step-by-step explanation:
2(5p+2g)+5g
10p+4g+5g
10p+9g
M is between L and N. If LN = 91 and LM = 23, find MN.
Answer:
MN = 68
Step-by-step explanation:
LN = 91
LM = 23
Points L, M, and N are collinear, therefore, according to the segment addition postulate, the following can be deduced:
LM + MN = LN
23 + MN = 91 (Substitution)
Subtract 23 from both sides
23 + MN - 23 = 91 - 23
MN = 68