Answer:
The person must leave the money for approximately 14.8 years.
Step-by-step explanation:
This can be calculated using the formula for calculating the future value as follows:
FV = PV * (1 + r)^n …………………………………. (1)
Where;
FV = Future value of the investment = 5600
PV = Present value of the investment = 3000
r = semiannual interest rate = 4.25% / 2 = 0.0425 / 2 = 0.02125
n = number of semiannuals = ?
Substitute the values into equation (1) and solve for n, we have:
5600 = 3000 * (1 + 0.02125)^n
5600 / 3000 = 1.02125^n
1.02125^n = 1.86666666666667
Loglinearizing both sides, we have:
nlog1.02125 = log1.86666666666667
n = log1.86666666666667 / log1.02125
n = 0.271066772286539 / 0.0091320695404719
n = 29.6829509548973
Since n is number of semiannuals, we divide the answer by 2 obtain the number of years as follows:
Number of years = 29.6829509548973 / 2 = 14.8414754774487
Rounding to the nearest tenth of year, we have:
Number of years = 14.8
Therefore, the person must leave the money for approximately 14.8 years.
A painter leans a 30 foot ladder against one wall of a house. At what height
does the ladder touch the wall if the foot of the ladder is 10 feet from the base
of the wall?
Answer:
20ft
Step-by-step explanation:
The height at which the ladder touch the wall when the ladder is 30 feet long, and the ladder is 10 feet from the base of the wall is 20√2 feet.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Consider the diagram below.
We've got:
Length of the ladder = |AC| = 30 ftDistance between ladder's bottom and base of wall = |BC| = 10 ftHeight of wall from base to the point where ladder touches = |AB| is to be known.The wall is usually perpendicular to ground, therefore making 90° angle with it. Thus, ABC is a right angled triangle.
Using Pythagoras theorem in it, we get:
[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\30^2 = |AB|^2 + 10^2\\|AB|^2 = 900 - 100\\\\|AB|^2 = 800\\\\\text{Taking sq. root of both the sides}\\\\|AB| = \sqrt{800} = \sqrt{ (\pm 20\sqrt{2})^2}\\\\|AB| = \pm 20\sqrt{2} \: \rm ft[/tex]
But as length cannot be a negative quantity, so we get:
[tex]|AB| = 20\sqrt{2} \: \rm ft[/tex]
Thus, the height at which the ladder touch the wall when the ladder is 30 feet long, and the ladder is 10 feet from the base of the wall is 20√2 feet.
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
#SPJ2
Determine if the triangles are congruent. If yes, by which theorem?
no
O yes, SSS
O yes, SAS
O yes, ASA
O yes, AAS
O yes, HL
its all on the picture.
Answer:
B!
Step-by-step explanation:
By the way, you named this as Mathematics... This is science but, the answer is B.
Answer:
Water carbon dioxide and oxygen.
Step-by-step explanation:
Its all in the picture. It labels the substances used in the cycle.
I need help math plz help
Answer:
this question makes no sense because it says he fills boxes that hold 9 muffins but how many large boxes does he have that's the real question
but what im thinking is if he fills large boxes with muffins and the large boxes hold 9 then if u divide 88/9 u get 9.78 so
ANSWER: about 10 muffins and if im wrong my bad
I KNOW THIS IS KIND OF ALOT BUT PLEASE HELP
Billy and Tom are out to dinner. Their bill comes to a total of $100. They have a 15% off coupon but tax and tip must also be included. The tax is 6% and is applied before the 20% tip. If Billy and Tom want to split the bill, how much will they each have to pay?
1. How much is their bill after the coupon has been applied?
2. With the coupon applied, what is their new total (including the tax)?
3. With their new total, Billy and Tom can now determine the tip for their server. What is the final total, including the tip?
4. What will Billy and Tom each have to pay to split the bill evenly?
Please answer labeled with numbers! thankyou!
Answer:
1. $85
2. $90.10
3.$108.12
4.$54.06
Step-by-step explanation:
100-15=85 (15% of 100 is 15)
6 percent of 85 is 5.10. So 85 + 5.10=90.10
20 percent of 90.10 is 18.02. So add that to the total. 90.10+18.02=108.12
Now divide by 2 to get how much they each will pay 108.12/2 = 54.06
Please help me due today
D. the area of the interior square in step 2 is equal to c² + ab.
I'll give u brainly if u right
Answer:
I think it is C
Step-by-step explanation:
The first two options are correct. The third one is false.
100 points, questions on the picture
Answer:
Step-by-step explanation:
22a) width = 3x-1
2(3x-1)
6x-2 = length
22b) P = 2* length + 2* width
P= 2(6x-2) +2(3x-1)
P= 12x -4 +6x-2 ; 18x-6
22c) P = 18(5)-6
P = 84 cm
Answer:
84cm
Step-by-step explanation:
Please help! 20 points and Brain liest if answered correctly
Answer:
-5,4
Step-by-step explanation:
Answer:
y=3/4x-5
Step-by-step explanation:
look at the image I attached
What is the value of value of 5/6 ÷ 3/4?
Answer:
answer is 10/9
:-)))☺️☺️
I hope it helps you
Answer: 1 and 1/9
Step-by-step explanation: Here, we have 5/6 ÷ 3/4.
Dividing by a fraction is the same as multiplying by its reciprocal.
In other words, we can change the division
sign to multiplication and flip the second fraction.
So here, 5/6 ÷ 3/4 can be rewritten as 5/6 × 4/3.
Now we're simply multiplying fractions so we multiply across the
numerators and multiply across the denominators.
So we have 5 × 4 which is 20 and 6 × 3 which is 18.
Notice that 20/18 is not in lowest terms so we divide the
numerator and the denominator of 20/18 by 2 to get 10/9.
If you would like, you can change this to the mixed number 1 and 1/9
by simply dividing 9 into 10 and putting the remainder over the denominator.
How many years will it take for $20,000 to earn $7,000 in interest if placed in an account that earns 2.09% simple interest?
Answer:
16.7 years
Step-by-step explanation:
2. A large appliance company estimates that the variance of the life of its appliances is 3.
You work for a consumer advocacy group and are asked to test the claim at a = 0.05.
You find that the sample of the lives of 27 appliances has a variance of 2.8.
Answer:
30
Step-by-step explanation:
Answer:
if their are choices you should list them. The givens are pretty specific though.
W = E * I is the answer
E (voltage) = W/I is a more refined answer. <<< answe
Step-by-step explanation:
Which whole number is Square root 42 close to
Answer:
√42 = about 6.48 ....... so it's closer to 6
Step-by-step explanation:
Answer: 6 because you would have to round it off
Step-by-step explanation:
When 80 is decreased by 15%, the new number is
Answer:68
Step-by-step explanation:
Percentage decrease = 15% × 80
New value =
80 - Percentage decrease =
80 - (15% × 80) =
80 - 15% × 80 =
(1 - 15%) × 80 =
(100% - 15%) × 80 =
85% × 80 =
85 ÷ 100 × 80 =
85 × 80 ÷ 100 =
6,800 ÷ 100 =
68
WILL GIVE BRAINLIEST PLS HELP
Write each of
these ratios in
their simplest form.
A) 3:9 B) 12:36 C) 13:39 D) 71:213
E) 142:213 F)38:57 G) 33:44 H) 31:42
a) 1:3
b) 1:3
c) 1:3
d) 1:3
e) 2:3
f) 2:3
g) 3:4
h) 31:42
Step-by-step explanation:
3:9=1:3
12:36=1:3
13:39=1:3
71:213=1:3
142:213=2:3
38:57=2:3
33:44=3:4
the simplest form of 31:42 is 31:42 because 31 is prime number so we can't divide it.
how to multiply decimals when not using models
Answer:
You multiply it like normal numbers. But when you do, count how many numbers are behind the decimal, say there are 2 numbers behind the decimal, once you finished multiplying the numbers you would add up all the products you got and then put the first 4 numbers you wrote behind the decimal to get the final product.
Step-by-step explanation:
Say you were multiplying 14.63 and 7.74
14.63
x 7.74 Always starting from the right side of the equation
.5852 go to the left four digits and put a decimal then
↑←←←← just carry the decimal down and you'll end up with
10.2410 the final product
+ 102.4100
113.2362
i dont know how to do geometry like that and i need help on my assignment
Answer:
Step-by-step explanation: Can you ask your teacher? Or no?
New Barinly is going to be KayBae2006
HELP PLEASE (i will give brainliest!)
An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is exactly 4 times smaller than the actual bridge.
16 ounces = 1 pound. 2,000 pounds = 1 ton.
If a test of the model shows that it holds 8,000 ounces, will the bridge hold 1 ton?
8,000 ounces on the model is equal to
ounces on the actual bridge.
Convert ounces to pounds. The actual bridge can hold
pounds.
Therefore, the bridge
hold 1 ton.
Answer:
the bridge holds one ton. on Edgunuity
Step-by-step explanation: <3
Answer: first one is 32000 the second one is 2000 and the third one Is it will hold 1 ton
Please please help please please
Answer:
75
Step-by-step explanation:
With reference angle 53°
base (b) = 45
hypotenuse (h) = K
Now
cos 53° = b / h
0.6 = 45 / K
K = 45 / 0.6
K = 75
The table in part C did not have a row for 100. Look at the values of other powers of 10 in the table. Given the pattern of the values, what would the value of 100 be?
Answer: 10
Step-by-step explanation:
Answer:
its 1 I did it and the edmentum answer says its 1
The mean length of 10 childrens' big finger is 8.1cm.
The mean length of 11 adults' big finger is 14.1cm.
What is the mean length (rounded to 2 DP) of these 21 people's big finger?
Answer:
The mean length of 10 children's big finger is 8.1 cmAverage length of all the 10 children's finger is (8.1×10) cm = 81 cm.
The mean length of 11 adult's big finger is 14.1 cmAverage length of all the 11 adult's big finger is (14.1×11) cm =155.1
Mean length of these 21 people's big finger is[tex] \frac{(81 + 155.1)}{21} = 11.242857[/tex]Hence, 11.24 is the right answer.Translate the phrase twice m increased by 2 is equal to 7 more then m
pls show your work plss
thx
A. m/2 + 2 = 7 + m
B. 2m + 2 = 7 + m
C. 2m + 2 = m + 7
D. 2m * 2 = m + 7
D :)
bye sis see you today
Plz can I get some help thank u sm
Step-by-step explanation:
The sum of two opposite interior angles equals an exterior angle
50+?=115
?=115-50=65°
Answer:
60 degrees
Step-by-step explanation:
angles on a straight line add up to 180 degrees.
so do 180-115=60
because its an equilateral triangle, you can check whether it adds up to 180
60+60+50=180
please mark me as brainliest!!<3
Consider the rectangle enlargement. Pls answer the three questions I will mark brainliest!!
Answer:
Perimeter of the original Rectangle is2(4.5+4.3)=2×8.8= 17.6 mm
Side length of the enlarged rectangle is[tex] \frac{4.5}{4.3} = \frac{24.3}{x} \\ x = \frac{24.3 \times 4.3}{4.5} \\ \boxed{x = 23.22 \: mm}[/tex]
Perimeter of the enlarged rectangle2(24.3+23.22)= 2×47.52= 95.04 mm
Please help! I need this asap! If you know the answer please help. If you don't thats ok. Just move on. If you have any questions comment, dont answer the question. Thank you!!
x=12 perimeter=58
There's a step by step in the pictures, I thought it might be easier
Carter has a fruit stand. In the morning, he has 2512 pounds of peaches. He sells bags of peaches that each weigh 112 pounds. He will restock when he has less than 3 pounds of peaches left. Which solution represents how many bags of peaches, b, Carter will sell before he restocks?
Answer:
22
Step-by-step explanation:
Divide 2512/112
Help!!! il give brainlist
The screen is 9 feet tall and the string is 15 feet long. If x is the distance, in feet, along the ground from the stake to the screen, what is the value of x ? Enter the value of x in the box.
Answer:
c
Step-by-step explanation: