Answer:
$420t
Step-by-step explanation:
Given data
Principal= $7000
Rate= 6%
Time= t years
The expression for the amount is
Simple interest= PRT/100
Sustitute
Simple interest= 7000*6*t/100
Simple interest= 42000t/100
Simple interest= 420t
Hence the amount after t years is $420t
Complete the input-output table for log4X. How would I solve this?
Answer:
[tex]x \to f(x)[/tex]
[tex]0.25 \to -1[/tex]
[tex]0.5 \to -0.5[/tex]
[tex]1 \to 0[/tex]
[tex]2 \to 0.5[/tex]
[tex]4 \to 1[/tex]
[tex]8 \to 1.5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = log_4(x)[/tex]
[tex]x = 0.5[/tex]
[tex]f(x) = log_4(x)[/tex]
[tex]f(0.5) = log_4(0.5)[/tex]
Apply law of logarithm
[tex]f(0.5) = \frac{log(0.5)}{log(4)}[/tex]
Using a calculator, we have:
[tex]f(0.5) = -0.5[/tex]
[tex]x = 1[/tex]
[tex]f(x) = log_4(x)[/tex]
[tex]f(1) = log_4(1)[/tex]
Express 1 as 4^0
[tex]f(1) = log_4(4^0)[/tex]
Apply law of logarithm
[tex]f(1) = 0*log_4(4)[/tex]
[tex]f(1) = 0[/tex]
[tex]x = 2[/tex]
[tex]f(x) = log_4(x)[/tex]
[tex]f(2) = log_4(2)[/tex]
Apply law of logarithm
[tex]f(2) = \frac{log(2)}{log(4)}[/tex]
Using a calculator, we have:
[tex]f(2) = 0.5[/tex]
[tex]x = 4[/tex]
[tex]f(x) = log_4(x)[/tex]
[tex]f(4) = log_4(4)[/tex]
[tex]log_a(a) = 1[/tex]
So:
[tex]f(4) = 1[/tex]
[tex]x = 8[/tex]
[tex]f(x) = log_4(x)[/tex]
[tex]f(8) = log_4(8)[/tex]
Apply law of logarithm
[tex]f(8) = \frac{log(8)}{log(4)}[/tex]
Using a calculator, we have:
[tex]f(8) = 1.5[/tex]
So, the complete table is:
[tex]x \to f(x)[/tex]
[tex]0.25 \to -1[/tex]
[tex]0.5 \to -0.5[/tex]
[tex]1 \to 0[/tex]
[tex]2 \to 0.5[/tex]
[tex]4 \to 1[/tex]
[tex]8 \to 1.5[/tex]
John is 3 years older than Susan and khalid is 5 years younger than her . The sum of their ages is 40 .
Find their ages.
Answer:
John is 17,
Susan is 14,
and Khalid is 9.
Step-by-step explanation:
a = John's age
b = Susan's age
c = Khalid's age
Let's set our rules from the given information.
a = b + 3
c = b - 5
a + b + c = 40
Now, we can solve for b through substitution.
(b + 3) + b + (b - 5) = 40
3b - 2 = 40
3b = 42
b = 14
So, now that we have Susan's age, we can follow the rules and see if it holds.
17 + 14 + 9 = 40 Viola!
NOOOO LINKS FILES
At a contest, each diver was scored on a 1-10 scale for each of 8 divee. This data set shows the scores earned by one of the divers
83 8 6 8 834
Which value represents the median of the data set?
A.5
B.6
C.7
D.8
Answer:
6 is the median
Step-by-step explanation:
The median is the same as the number in the middle, and the number in the middle is 6.
1. −5tan 2 θ+3=8tanθ+6
2. 2cosθ-3=5cosθ-5
Answer
(tan x + 3)=5
Step-by-step explanation:
Help please!!!!!!!!!! Need ASAP!! Thank you!
Maria can stuff envelopes twice as fast as her friend James. Together they can stuff 6750 envelopes in 4.5 hours. How long would it take each of them working alone? Which of the following equations could be used to solve this problem?
I thinks it's the last one
hope this helps
Answer:
B. 4.5/t + 4.5/(2t) = 1Step-by-step explanation:
Work = rate*timeMaria's rate = 6750/tJames's rate = 6750/2tTheir rate when working together:
6750/t + 6750/(2t) = 6750/4.5 ⇒ 1/t + 1/(2t) = 1/4.5 ⇒4.5/t + 4.5/(2t) = 1Correct choice is B
Please!!!!! HELP!!!!!!!!!
start time 7:30 elapsed time 2 hours 20 minutes end time is
4
Acellus
Find the lateral area of this cone.
Leave your answer in terms of pie
4ft
3ft
LA = [ ? ] pie ft2
Hint: Lateral Area of a Cone = mre
Where l = slant height
Enter
Answer:12
Step-by-step explanation: I multiplied 3 times 4
The Lateral Surface Area of cone is 12 π ft³
what is Lateral Surface area of Cone?The lateral area of a cone is defined as the area covered by the curved surface of the cone. It is also called lateral surface area (LSA) or curved surface area (CSA) of a cone. A cone is a 3-D object which tapers smoothly from the flat circular base to a point. In other words, it is a shape formed by a set of line segments coming from the base that connects to a common point
example:
Find the lateral area of a cone having base radius of 21 units and height of 20 units. (Use π = 22/7)
Solution: Given that r = 21 units and h = 20 units
Thus, slant height of the cone, l = √(r2 + h2) = √(212 + 202) = √(441 + 400) = √841 = 29 units
We know, the lateral area of the cone = πrL
Lateral area of a cone = (22/7) × 21 × 29
= 22 × 3 × 29
= 1914 units2
Answer: The lateral surface area of the given cone is 1914 units2
Given:
l= 4 ft
r= 3 ft
Lateral area = πrl
Lateral area = π * 3 * 4
Lateral area = 12 π ft³
Learn more about this concept here:
https://brainly.com/question/23720100
#SPJ2
what is the answer for is I need help please. 4/5 - 1/4
Answer:
11/ 20
Step-by-step explanation:
it cannot be reduced any further
Answer: 11/20 or in decimal 0.55
Step-by-step explanation:
HELP ME PLEASEEEEEEEEE
Answer:
is it 56 units²? if not sorry
Marissa says that lines a and D will eventually intersect. Is she correct? Explain.
What’s is this answerrr
Answer:no, The lines are skew
Step-by-step explanation:
I took the test
The diameter of a circular plate is 12 inches. What is the area of the plate? Round your answer to the nearest tenth of a square inch.
Answer:
Plate Area = PI * radius^2
Plate Area = 3.14159 * 6 * 6
Plate Area = 113.09724 square inches
Plate Area = 113.1 square inches (rounded)
Step-by-step explanation:
Charlie deposits $5,000 at his local bank and receives a 10% simple interest rate. How
much interest will Charlie have after 5 years?
Answer:
it is 11 years
Step-by-step explanation:
Hope it helps u
FOLLOW MY ACCOUNT PLS PLS
[tex] \sqrt[3]{54} [/tex]
How do I solve?
Answer:
find the cubic root of the number given
can someone help, please :)
what is the answer
Move the correct number to the first box to show the answer. Then, move numbers to the other boxes to explain the answer.
Answer:
[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]
Because:
[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{4} * 3 = [\ ][/tex]
Because
[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]
Required
Fill in the box
[tex]\frac{1}{4} * 3 = [\ ][/tex]
This can be written as:
[tex]\frac{1}{4} * 3 = \frac{1* 3 }{4}[/tex]
Solve the numerator
[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]
(b) Because
[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]
The above implies that
[tex]\frac{1}{4}[/tex] be added in 3 places
i.e.
[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]
Which expressions are equivalent to 3 1/4 - (- 5/8)?
Answer:
3.875
Step-by-step explanation:
What is the answer to this question?
Answer:
I dont know
Step-by-step explanation:
im trying to get brainly points lol
please help me. Will mark u brainlyist.... Please don't put a randome answer if u don't know.
Answer:
105
Step-by-step explanation:
< 7 is also 105- they are alternate exterior angles
Guys please last one ok
Answer:
last one, 4th
i really hope it helps.
Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high. If the snail started on Monday will it reach the top of the cabin wall before you leave on Friday?
Answer:
Step-by-step explanation:
Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that each day the snail carefully works its way 30 inches up the wall, while at night it slips back down 12 inches. Therefore, the net distance that snail covers is 18 inches.
The distance covered by the snail in 4 days from Monday to Friday morning is,
Distance = 4 days × 18 inches = 72 inches
Distance covered on Friday = 30 inches
Total distance covered = 72 inches + 30 inches = 102 inches
The total distance covered before you leave on Friday is 102 inches.
Further, the height of the wall is 9 feet, therefore, the snail needs to cover a distance of 108 inches (1 foot = 12 inches). Also, since the distance covered by a snail in 5 days is 90 inches, the total distance is 108 inches.
Hence, If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.
Learn more about Multiplication here:
https://brainly.com/question/14059007
#SPJ2
SOLVE
270.6 is 16 1/2% OF WHAT NUMBER?
WILL GIVE BRAINLIST
X
X
X
X
X
X
X
Answer:
165 po ang answer promise po
Answer:1640
To find the % then we have too times the 16 /12% by something right?
After some guessing their is my answer
Hope this helps :)
If you are reading this hope you have a wonderful day!
Review the graph of function g(x).
On a coordinate plane, a graph repeats multiple time with a maximum of (0, negative 2) and minimum of (0, negative 8) near the y-axis. It curves up to (0.5, negative 2) and then curves down through (3, negative 4). It curves down to (negative 0.5, negative 8) and curves up through (negative 3, negative 8).
Esai claims that Limit of g (x) as x approaches 0 is both –2 and –8 because the graph oscillates between these two values.
Kadence claims that Limit of g (x) as x approaches 0 is the average of –2 and –8, which is –5.
Who is correct?
Esai only
Kadence only
both Esai and Kadence
neither Esai nor Kadence
Answer:
Kadence Only
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Pls help! ASAP! I will mark Brainliest! If you give me a file or guess I will report you!
Answer:
the second and last one
....................
A line l2 is perpendicular to the line x + 2y – 5 = 0 without computing the gradient of this
line find the equation of l2 if it passes through (3, 4)
Answer:
y=2x-2
Step-by-step explanation:
first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept
add 5 to both sides
x+2y=5
subtract x from both sides
2y=-x+5
divide by 2
y=-1/2x+5/2
perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")
to find the slope of I2:
since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))
so here's our equation so far:
y=2x+b
now we need to find b
because line will pass through (3,4), we can use it to solve for b
substitute 4 as y and 3 as x
4=2(3)+b
multiply
4=6+b
-2=b
therefore the equation is y=2x-2
hope this helps!!
How do I solve this?
14.87
Step-by-step explanation:
use the Pythagorean theorem
a^2+b^2=c^2
C being the longest side of the triangle
14^2+5^2=C^2
196+25=C^2
221=C^
find the square root of 221
C=14.866
rounded to nearest tenth
C=14.87
Answer:
15
Step-by-step explanation:
5^2 +14^2=C^2
25+196=C^2
221=C^2
√221=√C^2
14.86=C
appr 15 =C
Type your answer and describe how
you found the answer
ROSS is a museum tour
guide at the Art Museum.
He charges $35 per person
for a 1 hour tour. He
typically has 54 people on
tours during the week. His
expenses for the week are
approximately
$108.63.
What is the amount of
profit that Ross will make?
Answer:
Ross's profit it 1,781.37
Step-by-step explanation:
$35 per person and 54 people= 35x54=1890
Profit= the amount of money he makes after his expenses.
1890-108.63=1781.37
Kepa has the flu, and he is concerned that he will not pass the mathematics exam. If the following three statements are true, will Kepa pass the exam?
i) Kepa will not fail the mathematics exam if he finishes his computer program.
ii) If he goes to the theatre, he does not have the flu.
iii) If he does not go to the theatre, he will finish his computer program
Answer:
Yes
Step-by-step explanation:
II is already false because Kepa can only go to the theatre if he doesn't have the flu. However, he does, so he cannot go. Then, if Kepa cannot go to the theatre, he will have to finish his computer program. Lastly, if the computer program is finished, Kepa will at least pass the exam.
Answer:
yes, if the computer program he will pass. he shouldn't go to the theatre if he has the flu or not cause hes been sick either way.
A cube with sides that are 2 cm has a mass of 48 g and its density would be
___________ g/cm3.
Answer:
6g/cm^3
Step-by-step explanation:
The density of the cube would be 6 grams/cm^3. I got this answer by first finding the volume of the cube, 2^3 which gives me 8 cm as the initial volume of the cube. Then, the 48 grams of mass the cube has allows me to divide 48 / 8 which gave me 6. And 6 would be the density of the cube in grams.
Answer: 6g/cm^3
Hope this helps!
Answer:
p = 6 g/cm³
Step-by-step explanation:
Given: cube sides= 2 cm and 48 g
To find: The cube's density
Formula: [tex]{p} \frac{m}{V}[/tex]
Solution: Measure the height, width, and depth of the shipment in inches.
Multiply the three measurements (height x width x depth).
Divide the total cubic inches by 1,728 (the number of cubic inches in a cubic foot).
Divide the weight (in pounds) of the shipment by the total cubic feet.
p = density
m = mass
V = volume
Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes. Which ratio of cups of sugar to cupcakes is equivalent to Mariana's recipe?
Answer:
2:12
Step-by-step explanation:
The ratio of cups of sugar to cupcakes is equivalent to 1:6.
Given that Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes.
What is the ratio?The ratio is the comparison of two quantities. It is generally represented by a fraction.
2 cups of sugar: 12 cupcakes = 2:12
2:12 = 2/12 =1/6 =1:6
So, the ratio of cups of sugar to cupcakes is equivalent to 1:6.
Therefore, the ratio of cups of sugar to cupcakes is equivalent to 1:6.
To get more about ratios visit:
https://brainly.com/question/2328454
