Answer:
14
Step-by-step explanation:
The nearest time period for Zachary to reach the amount is 14 years.
What is compound interest?
Compound interest is the interest on a deposit or loan calculated based on the initial principle, and the collective interest from previous periods.
For the given situation,
Principle, [tex]p=\$700[/tex]
Interest rate, [tex]r=4.9\%[/tex][tex]=0.049[/tex]
Amount, [tex]a=\$1360[/tex]
Compounded continuously, [tex]n=1[/tex]
We have to find the time period, [tex]t[/tex]
The amount formula of compound interest, [tex]a=p(1+\frac{r}{n} )^{nt}[/tex]
On substituting the values,
[tex]1360=700(1+\frac{0.049}{1} )^{1t}[/tex]
Divide by [tex]700[/tex] on both sides,
⇒[tex]\frac{1360}{700}=\frac{700}{700} (1+0.049 )^{t}[/tex]
⇒[tex]1.94=(1.049)^{t}[/tex]
Taking log on both sides,
⇒㏒[tex]1.94[/tex]=[tex]t[/tex]㏒[tex]1.049[/tex]
⇒[tex]0.28=0.020t[/tex]
Divide by [tex]0.020[/tex] on both sides,
⇒[tex]\frac{0.28}{0.020}=t[/tex]
⇒[tex]t=14[/tex]
Hence, the time period is 14 years.
Learn more about compound interest here
https://brainly.com/question/24924853
#SPJ2
simplfy 2(v-4)-5v helpp meee
Step-by-step explanation:
2(v-4)-5v
= 2v-8-5v
= -3v-8
Multiply. Use a model to help.
5/6
of 12 =
Answer: 10
Step-by-step explanation: (5/6) times 12
Answer:
10
Step-by-step explanation:
[tex]\frac{5}{6}[/tex] × [tex]\frac{12}{1}[/tex]
Multiply 12 times 5 to get 60. Then, multiply 6 times 1 to get 6.
Lastly, divide 60 by 6, which equals 10.
x + 14 = 113 x=______ solve the question
Answer:
x=99
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
Two friends receive some money in the ratio 1 to 2.
One friend receives £45 more than the other.
How much money was shared in total?
Answer:
£135
Step-by-step explanation:
£90 + £45
2:1
hope its correct and helped:)))))))))
Answer:
135
Step-by-step explanation:
Jackson bought snacks for his team's practice. He bought a bag of apples for $2.74
and a 10-pack of juice bottles. The total cost before tax was $26.14. How much was
each bottle of juice?
Answer:
each bottle of juice costs $2.34
Step-by-step explanation:
2.74+10x=26.14
10x=26.14-2.74
10x=23.40
x=23.40/10
x=2.34
who knows the answer to this????
find the inequality represented by the graph
Answer:
y is greater than or equal to -2x-5
Step-by-step explanation:
First find the slope which is -2x and then find the y-intercept which is -5 and then you can just test out if its greater than or equal to, or less than or equal to. To do this you just fill in the point 0,0 and if you do that you should get 0 is greater than (you can ignore the "or equal to") -5 and is that true? Yes it is! so then the side of the line that the point 0,0 is on should be shaded and since it is your answer is right!
Hope this helped!
What is the measure of the missing angle?
Answer:
115
Step-by-step explanation:
To find the missing angle all you have to do is add the 2 nonadjacent interior angles which are 75 and 40 to get the exterior angle which is 115.
Hope this helps!:)
Combine the like terms to create an equivalent expression:
-3x - 6+ (-1)
Stuck? Watch a video or use a hint.
Answer: -3x-7
Step-by-step explanation:
5.Divide: 15u20-------3u5 not a minus by the way
Answer:
Step-by-step explanation:
[tex]\frac{15u^{20}}{3u^5}=5u^{20-5}=5u^{15}\\[/tex]
Find the measure of angle T for the kite below
Answer:
Angle T = 43°
Step-by-step explanation:
118+118+81 = 317
360-317 = 43
Help solve for X. I will give brainliest to the best answer!!! PLEASEEEE
Answer:
8
Step-by-step explanation:
So first do 104+76+104=284
Now form the equation 10x-4+284=360
It is 360 because this is a quadrilateral.
Now combine like terms.
10x+280=360
10x=80
x=8
Check 80-4=76
The other angle is 76 so you know your answer is correct
Josephine lives in a
castle 5 miles north of Earl, and Alexander lives 12 miles east of Earl. How many miles away do
Josephine and Alexander live from each other?
A plane flying horizontally at an altitude of 3 miles and a speed of 460 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 4 miles away from the station. (Round your answer to the nearest whole number.)
Answer:
10
Step-by-step explanation:
cuz i know okay sheeesh
Which operation should be performed first to simplify the expression below?
19 - 2 \times 8 \div 4 + 6
A
Addition
B
Subtraction
C
Multiplication
D
Division
Answer:
D) division
Step-by-step explanation:
Bob wants to buy a TV that costs $100. He plans to save $5 per week. How many weeks w will it take Bob to save $100?
Answer:
he will have to save 5 dollars for 20 weeks
Step-by-step explanation:
5 x 20 = 100
HELP ! pleaseee I’ve been trying & I still don’t know
Answer:
y = 1 over 2 x + 15
Step-by-step explanation:
solve: 2(5x + 3)= 25
solve : 2(5x + 3) = 25
SOLUTION:▶️2(5x + 3) = 25
▶️ 2 × 8x = 25
▶️ 16x = 25
▶️ x = 25/16
▶️ x = 1.5625
ANSWER:1.5625
Step-by-step explanation:
Step 1:
2(5x+3)=25
(2)(5x) + (2)(3)=25 (distribute)
10x+6=25
Step 2:
10x+6 - 6 = 25 - 6
10x =19
Answer :
X=19 of 10
An angle that measures 133º.
Answer:
The angle is a Obtuse Angle
I need this please help me
6. It takes about 20 minutes to walk a mile. About how
long would it take to walk a half mile
The pre-image of pentagon PENTA is rotated 90° clockwise about the origin to create the image of pentagon P'ENTA. Which statement is true?
A. The sum of the angle measures of pentagon PENTA are less than the sum of the angles measures of pentagon P'ENTA
B. After the rotation has been completed, all of the coordinates of the image will be in Quadrant
C. Each side length of pentagon P'ENTA' is twice as long as each corresponding side length of pentagon PENTA.
D. The area of pentagon PENTA is the same as the area of pentagon P'E'NTA
The ratio of dogs to cats in a veterinarian's office is 9:7. What is the ratio of the number of dogs
to the total number of dogs and cats in the veterinarian's office?
Answer:
The ratio of the number of dogs to the total number of dogs and cats in the veterinarian's office is 9:16.
Step-by-step explanation:
Ratio:
The ratio of a to b is given by:
[tex]a:b = \frac{a}{b}[/tex]
The ratio of dogs to cats in a veterinarian's office is 9:7.
This means that for each 9 dogs, there are 7 cars.
What is the ratio of the number of dogs to the total number of dogs and cats in the veterinarian's office?
9 dogs
9 + 7 = 16 dogs and cats. So
The ratio of the number of dogs to the total number of dogs and cats in the veterinarian's office is 9:16.
help what is 3²×3⁴×3³=?
Answer:
19 683
Step-by-step explanation:
To be able to do this, just remember that for example 3 square which is the number "3^" is 3 x 3 and it is the same for others, like 3^^ is 3 x 3 x 3 x 3.
A calculator is helpful for this question, but still doable without calculator.
A number, x, rounded to 1 decimal place is 3.7
Write down the error interval for x.
Answer: (3.65, 3.74)
Step-by-step explanation:
Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.
if it is 5 or more, we round up
if it is smaller than 5, we round down.
Then for example, if we want to round:
4.534
to the first decimal place, we need to look at the second decimal place.
we can see that it is a 2.
Then we round down, and get:
4.5
Now we know that, when rounding to the first decimal place, we have:
x = 3.7
Then the maximum value that x could have is:
x = 3.74 (because here we round down to 3.7)
and the minimum value that x could have is:
x = 3.65 (because here we round up to 3.7)
Then the error interval for x is:
(3.65, 3.74)
Please help me!!!!!!!!!!!!!!
can someone help find me, giving brainly.
Step-by-step explanation:
8x+17 = 30 + 5x +20
3x = 30 + 20 -17
3x = 30 + 3
3x = 33
x = 33/3
x = 11
measures = angle Q= 5x +20 = 5(11)+ 20 = 55+20 = 75
hope this will be helpful to you.
plz mark my answer as brainlist plzzzz.
☺️
calcule a área lateral de uma pirâmide regular quadrangular de altura 6 cm e área da base 64 cm2
Answer:
bam
Step-by-step explanation:
bam
is a single money that grows interest overtime to a larger sum brainly
Step-by-step explanation:
while both types of interest that grows every time over time
Solve (x - 2)^2 - 3 = 1 graphically. That is graph y = (x - 2)^2 - 3 and y = 1 on the same set of axes and find the x-value(s) of any points of intersection. Then use algebraic strategies to solve the equation and verify that your graphical solutions are correct.
Check the attachment(s) for the graphs pertaining to the question
No. 1) Check graph [first attachment]
No. 2) y = (x - 2)^2 - 3, y = 1
(x - 2)^2 - 3 = 1,
(x - 2)^2 = 4
x - 2 = √4, x - 2 = - √4
x = 4, x = 0
Substitute back to determine the respectively y-value:
y = (4 - 2)^2 - 3 = (2)^2 - 3 = 4 - 3 = 1
Check: y = (0 - 2)^2 - 3 = (-2)^2 - 3 = 4 - 3 = 1
So the points of intersection are (4, 1) and (0, 1). According to the graph, that is correct.
