Answer:
Balance of the account after 5 year = $2,577 (Approx)
Step-by-step explanation:
Given:
Initial deposit = $2000
Annual yield (r) = 5.2% = 5.2 / 100 = 0.052
Number of year (n) = 5 year
Find:
Balance of the account after 5 year = ?
Computation:
[tex]Amount = Initial\ deposit(1+r)^n\\\\Amount = 2,000(1+0.052)^5\\\\Amount = 2,000(1.052)^5\\\\Amount = 2,000(1.28848302)\\\\Amount = 2,576.96604[/tex]
Balance of the account after 5 year = $2,577 (Approx)
Fill in the blank. Given O below, you can conclude that so is congruent to
A. WA
B. WR
C. 0O
D. AO
Answer:
you never showed the graph so if this is it the answer is ao
Step-by-step explanation:
Segments AB, DC and Ec intersect at point C. Angel DCE measures 148. Find the value of x.
The image is attached.
Answer:
x = 16°
Step-by-step explanation:
Segment AB, segment DC and segment EC all intersect at point C.
Here, we are told angle DCE measures 148°.
This is a semi-circle, and the total angle of a semi-circle is 180°.
Which means, x+x+148 = 180
Solving for x, we have:
x+x+148 = 180
2x + 148 = 180
2x = 180 - 148
2x = 32
[tex]x = \frac{32}{2}[/tex]
x = 16°
The value of x is 16°
Find the missing angle measurements
Answer:
The angle for the top of the triangle is 79. For the right corner would be 56. Then going to the bottom of the blue triangle vertice would be 75. The missing angle next to that one would be 55/
Step-by-step explanation:
4) The diameter of a circle is 32m. The radius is represented by 4(x + 2).
Part A: Write an equation you can use to find the value of x.
Part B: What is the value of x?
Answer:
The value of x is 2
Step-by-step explanation:
Diameter = 2r -------------------------------------------------------------------(1)
where r is the radius
The value of the diameter = 32 m and radius is given to be 4(x+2)
substitute the above into equation (1) and then solve for x
32 = 2 [ 4(x + 2)]
first open the inner bracket
32 = 2[4x + 8}
then open the outer bracket
32 = 8x + 16
subtract 16 from both-side of the equation
32 - 16 = 8x +16 - 16
16 = 8x
Divide both-side of the equation by 8
16/8 = 8x/8
2 = x
x = 2
Therefore, the value of x is 2
The product of Jack's age and Florence's age is 266. Jack is 14 years
old. How old is Florence?
Answer:
19
Step-by-step explanation:
you divide 266 by 14
Answer:
19
Step-by-step explanation:
266 ÷ 14 = 19
Which statement about the credibility of this source is most accurate ? A.
Answer:
C. The source is credible because it contains facts and information that are accurate.
Step-by-step explanation:
The statistics(60%) used provide facts on the topic that make the source credibleFill out the following table.
Do you see a pattern? Do you think this will always be true? Why or why not?
Answer:
I had the same question just without the why or why not, But it will always be true :)
Step-by-step explanation:
Hope It Helps :)
Help please!!!! ;-; staph scrolling
[tex]y = 4^x \quad \to\quad y = - \frac 2 3 (4^{x+7}) - 5[/tex]
[tex]y=4^x[/tex]
OK, we'll go in steps. First a reflection through the x axis, which negates y.
[tex]y = -4^x[/tex]
Now a vertical scaling of 2/3
[tex] y = -\frac 2 3 \cdot 4^x[/tex]
Now we shift seven units to the right,
[tex] y = -\frac 2 3 \cdot 4^{x+7}[/tex]
Now down five,
[tex] y = -\frac 2 3 \cdot 4^{x+7} - 5[/tex]
There it is.
Answer: reflection thru x axis, vertical scale 2/3, right shift 7, down 5, second choice
Find the value of x and y
Answer:
x=24 y=19
Step-by-step explanation:
2y=y+19
y=19
2x-8=x+16
x=16+8
x=24
Answer:
x = 24
y = 19
Step-by-step explanation:
Set the expressions with the x-variables together, and the y-variables together, like so:
2x - 8 = x + 16
Subtract x from both sides:
x - 8 = 16
Add 8 to both sides:
x = 24
Solving for y:
2y = y + 19
Subtract y from both sides:
y = 19
In the figure below, APE and EPD are congruent.
What is the arc measure of BAD on circle P in degrees?
Answer:
arc BAD = 244°
Step-by-step explanation:
The sum of the angles around the centre of the circle = 360°, thus
∠APD = 360° - (136 + 74 + 42)° = 360° - 252° = 108°
The angle at the centre is equal to the arc that subtends it, thus
arc BAD = arc BA + arc AD = 136° + 108° = 244°
The requried measure of arc BAD on circle P is given as 244°.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
The Arc of the whole circle measures, 2π = 360°,
Angle ∠APD is given as
∠APD = 360° - (136 + 74 + 42)°
∠APD = 360° - 252° = 108°
The angle at the center is equal to the arc that subtends it, thus
Arc BAD = Arc BA + Arc AD
Arc BAD = 136° + 108° = 244°
Thus, the requried measure of arc BAD on circle P is given as 244°.
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ2
Write the equation of the circle P graphed below.
50 POINTS HELP ASAP
Answer:
its 10 points not 50
Step-by-step explanation:
What is the value of s?
units
0
5
В
8
15
S
D
Consider the triangle ABD,
Here,
AB = 5
BD = 15
AD = s
As we know,
In a triangle, the sum of lengths of two sides is greater than the third side.
So,
[tex]5 + 15 > s[/tex]
[tex]15 + s > 5[/tex]
[tex]s + 5 > 15[/tex]
Now,
To satisfy the equation, the value of s can possibly be 11, 12, 13, 14, 15, 16, 17, 18, 19
Answer: the value of s is 17 units
Step-by-step explanation: youre welcome
A sporting goods company sells a tent with the dimensions shown. The company wants to introduce a new, larger tent that is geometrically similar to the original tent but with a height of 6 feet. How will the volume of the new tent compare with the volume of the original tent?
Answer:
The volume of the new tent will be 3/2 times the volume of the original
Step-by-step explanation:
The original tent is a triangular prism, which missing dimensions of the tent are:
base (b): 6 ftheight (h): 4 ftlength (l): 7 ftVolume of the original tent:
V = 1/2*b*h*l
The only difference between the new and the original tent are their heights. Let's call h' = 6 ft to the height of the new tent.
Volume of the new tent:
V' = 1/2*b*h'*l
Dividing V' by V:
V'/V = (1/2*b*h'*l)/(1/2*b*h*l)
V'/V =h'/h
Replacing with data:
V'/V =6/4
V' = 3/2*V
pls help will mark as brainliest
Answer:
C
Step-by-step explanation:
Answer:
D cannot be used. first 3 are correct
Step-by-step explanation:
A rectangle has a height of 7a^2 and a width of a^4+5a^2+4.
Express the area of the entire rectangle.
Which of the following represents the factorization of the binomial below ? x^2 - 144
It factors to (x+12)(x-12)
This is the same as (x-12)(x+12) as we can multiply two expressions in any order we want. This is like saying 7*5 is the same as 5*7
I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)
Jessie lives in a farm and only has 2 animals, chickens and rabbits. One day he decided to count the total number of heads and legs of his animals. He told his friends that there were 30 heads and 76 legs in all.
How many chickens does Jessie have on his farm?
How many rabbits does Jessie have on his farm?
Let x represent number of rabbits and y represent number of chickens.
We have been given that Jessie told her friends that there were total 30 heads for both animals. This means that there are total 30 animals.
[tex]x+y=30...(1)[/tex]
[tex]y=30-x...(1)[/tex]
We have been given that Jessie only had chicken and rabbits. We know that a rabbit has 4 legs, so total number of legs for x rabbits would be [tex]4x[/tex].
We know that a chicken has 2 legs, so total legs of y chickens would be [tex]2y[/tex].
Since all animals has 76 legs in all, so we can represent this information in an equation as:
[tex]4x+2y=76...(2)[/tex]
Upon substituting equation (1) in equation(2), we will get:
[tex]4x+60-2x=76[/tex]
[tex]2x+60=76[/tex]
[tex]2x+60-60=76-60[/tex]
[tex]2x=16[/tex]
[tex]\frac{2x}{2}=\frac{16}{2}[/tex]
[tex]x=8[/tex]
Therefore, Jessie have 8 rabbits on his farm.
Number of chickens would be [tex]y=30-x\Rightarrow 30-8=22[/tex].
Therefore, Jessie have 22 chickens on his farm.
Can someone helpppppppppp
Answer:
A
Step-by-step explanation:
The reason it is A is because
It goes in biggest to lowest A B C D
C and B don't follow that so we are left with A and D
In answer D C and B are too close in percentage therefore it cannot be D
Therefore your answer is A
Hope this helped!
I need help.! ASAP PLEASE
Answer: The answer is 9
Step-by-step explanation:
It is 9 because 3x3x3x3 is basically 9x9 and 9x9 is 81, so 81 is the numerator. Then we gat to the denominator, which is 3x3 and 3x3 is 9. So the new fraction you get is 81/9, which is basically 81 divided by 9. 81 divided by 9 is 9.
Answer:
9
Step-by-step explanation:
Subtract 2 from the 4 exponents on the numeral, then multiply that exponent, which would be 3×3=9 .
Doug is a dog, and his friend Bert is a bird. They live in Salt Lake City, where the streets are 1/16 miles apart and arranged in a
square grid (see map). They are both standing at the corner of 6th avenue and L street. Doug can run at an average speed of 30
mi/hr through the streets of Salt Lake, and Bert can fly at an average speed of 20 mi/hr. They are about to race to the corner of
10th avenue and Estreet. who would win and why?
No map given but it shouldn't matter.
E is the 5th letter, L the 12th.
Start at S(6,12). End at E(10,5)
The vector between them, E-S=(4,-7)
Each unit is 1/16 of a mile, though that probably doesn't matter that much.
Doug has to stay on the grid, so has to run |4|+|7|=11 units. At 30 mi/hr that takes (11/16)/30 = 0.022916 hours.
Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units. At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.
Answer: Doug wins
Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph. That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.
Answer:
Doug wins. He finishes in 1.38 minutes. Bert takes 1.51 minutes.
Step-by-step explanation:
Each city block is a square 1/16 mile by 1/16 mile.
From 6th Av and L Street to 10th Av and E Street, they need to go 4 avenues and 7 streets over. These two distances along blocks are the legs of a right triangle. The right triangle has legs of length 4 * 1/16 mile and 7 * 1/16 mile.
leg1 = 4 * 1/16 mile = 0.25 mile
leg2 = 7 * 1.16 mile = 0.4375 mile
The hypotenuse of the right triangle can be calculated by the Pythagorean theorem.
a^2 + b^2 = c^2
(0.25 mile)^2 + (0.4375 mile)^2 = c^2
c = 0.50389
The direct distance from one corner to the other is 0.50389 miles.
The bird travels this distance since the bird can fly above the streets.
The dog has to travel along the legs of right triangle by running in the streets and avenues. The dog travels 0.25 mile + 0.4375 mile = 0.6875 miles
Now we need to see what takes less time:
Bird: distance of 0.50389 miles at 20 mph, or
Dog: distance of 0.6875 miles at 30 mph
We start with the formula for speed:
speed = distance/time
s = dt
Now we solve it for time:
st = d
t = d/s
Time equals distance divided by speed.
Now we find the times for the bird and for the dog.
Bird:
t = d/s = (0.50389 mi)/(20 mi/h) = 0.02519 hours = 1.51 minutes
Dog:
t = d/s = (0.6875 mi)/(30 mi/h) = 0.0229 hours = 1.38 minutes
The bird takes 1.51 minutes, and the dog takes 1.38 minutes.
The dog takes less time to get there, so the dog wins.
Chris needs at least a C+ average to pass his math class. His test grades in the class are shown below. 68, 80, 73, 72 The lowest C+ grade is 76. If there are only 5 tests, what is the minimum grade that Chris needs to get on his last test? A. 97 points B. 89 points C. 85 points D. 87 points
Answer:
C
Step-by-step explanation:
Answer:
B 89 points
Step-by-step explanation:
you calculate the mean, basically trial and error. So you add one of the answers to 68+80+73+72 and then divide by 5 because there are five tests
hope this helped<33
Need Help Please, Stressing out :( and Thank you:)
Answer:
please don't be stressed :)
2. c
Step-by-step explanation:
2. if 1,000 is one kilogram then 1,412 = 1.412.
sorry i could only answer 1 but hope this helps
Please help
Find answer Asap and I will mark as brainliest!!
Answer:
3 units.
Step-by-step explanation:
If you view the triangle face in halves, the bottom leg is units as 8/2 = 4. The hypotenuse is 5 units given in the centre of the triangular prism. You can then use the Pythagorean theorem to calculate that the height is 3.
PLEASE HELP 35 POINTS!!!!!!
In two or more complete sentences discuss the advantages and disadvantages of investing in a 529 plan versus investing in a money market account.
Answer:
Step-by-step explanation:
A 529 plan (Qualified tuition plan) is a tax-advantaged savings plan for future education costs while a money market account refers to a investment or a deposit with a financial institution that earns interest based on the current rates.
Money market deposit accounts are better choices than 529 plan for money you might need to tap at a moment’s notice to cover an emergency or an unexpectedly large expense. They pay higher interest than ordinary savings accounts and give you immediate access to your money
While in 529 savings plan, If you don’t use the money invested for college tuition, you will be penalized 10 percent when you withdraw the money to use it for something else. In addition, both your state and the federal government will tax the earnings on your account in your current tax bracket.
The basic advantage of 529 plan over money market account is the tax-advantage that is the amount invested or withdrawn is tax free. It also has high return and funds from it can be used for another beneficiary who is a qualified family member. Whereas the disadvantage is that the 529 plan is a specified fund for future education purposes. This makes it restricted as the fund can not be transferred for a different use. Unlike the money market account whose use is not restricted. It can be withdrawn to meet diverse financial needs including education. More so, funds in the money market account are insured and can be easily accessed.
In essence, the 529 plan is a specific investment while a money market account is more general in nature.
Answer:
im grounded bc i cheated with this
Step-by-step explanation:
100 to anyone who can answer all of these !!!
Answer:
24yrds is (a) 24.12yrds is (b) 64yrds is (c) And that's all i can do, don't get mad at me please.
Step-by-step explanation:
help please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4 feet by 3 feet
Step-by-step explanation:
I hope this helped you out
The shaded numbers show a pattern in the multiplication table. Which
expression can find the number that comes next in the pattern?
Xo 1 2 3 4 5
0 0 0 0 0 0 0
10 1 2 3 4 5
2 0 2 4 6 8
3 0 3 6 9 12
4 0 4 8 12 16
5 0 5 10 15 20 25
25 X4
25 + 11
25 +
1
25 +1
25 x 6
25 x 6
Answer:
25 + 11
Step-by-step explanation:
As it is summing up by odd numbers
so 16+9 is 25
and then 25 + 11 as eleven is the next odd number after 9
Answer: 25+11
HOPE THIS HELPS
I will mark brainliest to first correct answer!
Answer:
C
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
What factors do 6 and 12 have in common?
Answer:
6x^2 im pretty sure thats whats its asking for
Step-by-step explanation:
