The interest that Joanna earned in the first two months is $4.26.
What is the interest earned?Interest earned in the first month = future value - amount deposited.
Future value = amount deposited x (1 + monthly interest)
Monthly interest = 6/12 - 0.5% = $252.50
Interest = $252.50 = 250 = $2.50
Interest earned in the second monthly = future value of the first month + amount deposited x (1.005)
(252.50 + 100) x 1.005 = 354.26
Interest = 354.26 = 352.50 = $1.76
Total interest = $1.76 + $2.50 = $4.26
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1. Desde el pie de un edificio se observa la parte superior de una torre con un ángulo de elevación de 45°. Desde la azotea del mismo edificio se observa la cúspide de la torre con un ángulo de depresión de 60°. El edificio es 20 m. más alto que la torre. Determinar ambas alturas.
Por razones trigonométricas, encontramos que las alturas de la torre y el edificio son de aproximadamente 11.548 metros y 31.548 metros, respectivamente.
¿Cómo determinar la altura de dos edificios?
En esta pregunta debemos utilizar conceptos de trigonometría para determinar la altura de los dos edificios. A continuación, tenemos las siguientes expresiones trigonométricas:
Diferencia entre las alturas del edificio y el torre
20 = r₁ · sin 60°
r₁ ≈ 23.094 m
Ahora determinamos el valor de r₂ mediante identidades trigonométricas:
r₂ = r₁ · (cos 60°/cos 45°)
r₂ = (23.094 m) · (cos 60°/cos 45°)
r₂ ≈ 16.330 m
Finalmente, obtenemos las alturas de cada edificio:
Torre
h = (16.330 m) · sin 45°
h ≈ 11.548 m
Edificio
h' = h + 20 m
h' = 11.548 m + 20 m
h' = 31.548 m
Por razones trigonométricas, encontramos que las alturas de la torre y el edificio son de aproximadamente 11.548 metros y 31.548 metros, respectivamente.
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Look at the picture as I can’t type the whole thing
Answer:
23.1 hours
Step-by-step explanation:
the mean is calculated as
mean = ∑ fx ÷ ∑ f
where x is the midpoint of the time intervals
0 < h ≤ 10 ⇒ x = 5
10 < h ≤ 20 ⇒ x = 15
20 < h ≤ 30 ⇒ x = 25
30 < h ≤ 40 ⇒ x = 35
then
∑ fx = (5 × 5) + (15 × 15) + (50 × 25) + (10 × 35)
= 25 + 225 + 1250 + 350
= 1850
∑ f = 5 + 15 + 50 + 10 = 80
then
mean = 1850 ÷ 80 ≈ 23.1 hours (to 1 dp )
Tasty Goodies Bakery recorded the desserts that were recently sold.
chocolate croissants 1
cookies 1
brownies 10
slices of pie 12
Considering this data, how many of the next 78 desserts sold should you expect to be slices of pie?
slices of pie
Answer:
36
Step-by-step explanation:
possibility of slices of pie is 12/24, = 1/2
78 desserts, how much i expect is slices of pie
78*(1/2) = 36
We should expect about 39 of the next 78 desserts sold to be slices of pie.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Out of 24 desserts sold, 12 were slices of pie.
Therefore, the proportion of slices of pie sold is 12/24 = 1/2.
To estimate the number of slices of pie in the next 78 desserts sold, we can multiply the proportion of slices of the pie by the total number of desserts sold:
(1/2) x 78 = 39
Therefore,
We should expect about 39 of the next 78 desserts sold to be slices of pie.
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The grade 10 class is going to bake muffins. The recipe that they are going to use requires the following ingredients: RECIPE ✓2 Egga ✔125ml Cooking oll ✓375ml brown sugar (300g) ✓800ml Milk ✓300g Whole wheat flour ✓ 375ml cake flour (210g) ✓5ml Salt ✓ 5ml Vanilla Essence ✓ 10ml Bicarbonate of soda ✓ 250ml Raisins (150g) 2.1 The volume of 150g of Whole wheat is 250ml. Calculate the volume of the Whole wheat flour in the recipe 2.2 When they are all mixed together, all the above ingredients make up 2 litres of mixture (because some parts dissolve into other parts). 2.2.1 Convert 2 litres into ml 2.2.2 How many muffins can the above recipe make if 60ml is required for each muffin? 2.2.3 Using your answer to question 2.2.2, how many eggs will the girls need to buy to make 500 muffins? 2.3 The students need to make 500 muffins, using muffin trays that hold 6 muffins par tray. They plan to put 4 trays at a time into the ovens. Each oven takes 30 minutes to bake. How long will they take to make 500 muffins if they will be using 4 ovens?
The conversion of 2 liters into millimeters from the information regarding the muffins is 2000ml.
How to convert?From the information, we are told to convert 2 litres into ml. This will be:
= 1000 × 2
= 2000ml
The number of eggs that will be bought to make 500 muffins will be:
= 500 × 2
= 1000 eggs.
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With full explanation from the internet like before
3x2-6x+5=0
Answer:
[tex]\sf x=1+i\sqrt{\dfrac{2}{3}} \ \quad and \quad \:x=1-i\sqrt{\dfrac{2}{3}}[/tex]
Explanation:
Given Expression:
3x² - 6x + 5 = 0Use the Quadratic Formula:
[tex]\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0[/tex]
insert coefficients
[tex]\Longrightarrow \sf x = \dfrac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:3\cdot \:5}}{2\cdot \:3}[/tex]
[tex]\Longrightarrow \sf x = \dfrac{\left6\right\pm \sqrt{-24} }{6}[/tex]
[tex]\Longrightarrow \sf x = \dfrac{\left6\right\pm 2\sqrt{6}i}{6}[/tex]
[tex]\Longrightarrow \sf x =1 \pm i\dfrac{\sqrt{6} }{3}[/tex]
[tex]\Longrightarrow \sf x=1+i\sqrt{\dfrac{2}{3}}, \quad 1-i\sqrt{\dfrac{2}{3}}[/tex]
Use quadratic formula
[tex]\\ \rm\Rrightarrow x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{6\pm \sqrt{36-60}}{6}[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{6\pm\sqrt{-24}}{6}[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{6\pm2\sqrt{6}i}{6}[/tex]
[tex]\\ \rm\Rrightarrow x=1\pm \dfrac{sqrt{2}i}{\sqrt{3}}[/tex]
[tex]\\ \rm\Rrightarrow x=1\pm\sqrt{\dfrac{2}{3}}i[/tex]
solve the formula for h. B=1hm÷2
Answer:
[tex]\frac{2B}{1m} =h[/tex]
Step-by-step explanation:
[tex]B =\frac{1hm}{2}[/tex]
Multiply both sides by 2.
[tex]2B = 1hm[/tex]
To make h as the subject divide both sides by 1m.
[tex]\frac{2B}{1m} =\frac{1hm}{1m}[/tex]
Therefore,
[tex]\frac{2B}{1m} =h[/tex]
YOOOOO ITS MY LAST DAY OF SCHOOL HAVE SOME POINTS :D
AYEEE SAME WOOOO!!! HOPE YOU'RE HAVING A GREAT DAY :D
1.012 - 0.809 +2.75
give me the answer
Answer:
2.953
Step-by-step explanation:
Following the order of operations, work from left to right for addition/subtraction.
Subtraction:
[tex]\begin{array}{r r r r r} ^0\diagup\!\!\!\!1 &. & ^10 & ^0\diagup\!\!\!\!1&^1 2\\ -\quad0&.&8&0&9\\\cline{1-5}0&.&2&0&3\\\cline{1-5} \end{aligned}[/tex]
Addition:
[tex]\begin{array}{r c c c r} 0 & . & 2&0&3\\ + \:\:2 &.& 7 & 5\\\cline{1-5}2&.&9&5&3\\\cline{1-5} \end{aligned}[/tex]
Therefore, the solution is 2.953
Let's see
1.012-0.809+2.752.75 can be written as 2.750
1.012-0.809+2.7500.203+2.7502.953I need the answer ASAP
Answer:
yeah
Step-by-step explanation:
so do 22.5 times 27 and then divide with 43
x+5≤−4 solve for x please
Answer:
x ≤ -9
Step-by-step explanation:
[tex]x+5 < /=-4[/tex]
[tex]x+5-5 < /=-4-5[/tex]
[tex]x < /=-4-5[/tex]
[tex]x < /=-9[/tex]
Fizer Pharmaceutical paid $78 million on January 2, 2021, for 6 million shares of Carne Cosmetics common stock. The investment represents a 25% interest in the net assets of Carne and gave Fizer the ability to exercise significant influence over Carne’s operations. Fizer received dividends of $2 per share on December 21, 2021, and Carne reported net income of $28 million for the year ended December 31, 2021. The fair value of Carne’s common stock at December 31, 2021, was $28.50 per share.
The book value of Carne's net assets was $192 million.
The fair value of Carne's depreciable assets exceeded their book value by $48 million. These assets had an average remaining useful life of twelve years.
The remainder of the excess of the cost of the investment over the book value of net assets purchased was attributable to goodwill.
Prepare the appropriate journal entries related to the investment during 2021. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Enter your answers in millions, (i.e., 10,000,000 should be entered as 10).)
The appropriate journal entries related to the investment during 2021 is: Debit Investment in Carne shares $78 million; Credit Cash $78 million.
Journal entriesJanuary 2, 2021
Debit Investment in Carne shares $78 million
Credit Cash $78 million
January 12, 2021
Debit Cash $12,000,000
($2 per shares x 6,000,000)
Credit Investment in Carne shares $12,000,000
December 21, 2021
Debit Investment in Carne shares $7,000,000
Credit Investment revenue $7,000,000
(25% x $28,000,000)
December 31, 2021
Debit Investment revenue $1,000,000
Credit Investment in Carne shares $1,000,000
[25% x ($48,000,000 ÷ 12 years)]
December 31, 2021
No journal entry for changes in fair value when using equity method.
Therefore the appropriate journal entries related to the investment during 2021 is: Debit Investment in Carne shares $78 million; Credit Cash $78 million.
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On the dance decoration committee, there are 6 seniors, 4 juniors, and 5 sophomores. Of these learners, 4 seniors, 3 juniors, and 3 sophomores are male. One learner is picked at random to present the decoration plans to the principal.
What is the probability that the learner is a senior or a male?
Using it's concept, it is found that there is a 0.8 = 80% probability that the learner is a senior or a male.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there is a total of 6 + 4 + 5 = 15 students. Of those, there are 6 seniors, and 6 male non-seniors, hence there are 12 desired outcomes, and the probability is given by:
p = 12/15 = 0.8 = 80%.
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Which of the following is an even function?
Of(x) = (x - 1)²
Of(x) = 8x
Of(x)=x²-x
Of(x) = 7
COFFE
Sinte echinat
SUMPARNI
Answer:
Step-by-step explanation:
What is the third quartile of this data set?
20,21,24,25,28,29,35,37,39,42,44
A. 44
B. 29
C. 24
D. 39
please help!!!
Find the indicated measures using the diagram below
Answer:
x = 60°, y = 78°, z = 29°.
Step-by-step explanation:
(x). Alternate exterior angles are congruent, so ∠OSP ≅∠HJP, and ∠OSP measures x°. Of the given information, we know ∠HJP = 60°.
∠x = 60°.(y). Vertical angles are congruent, so: ∠OPS ≅∠JPH, and in the diagram ∠OPS measures y°. To find ∠JPH, subtract the other angle measures in this triangle within the quadrilateral. This is represented by: 180 - (60+42) = 78°.
Since ∠y ≅∠JPH, both angles measure 78°.(This can also be found by knowing 102 + y = 180 degrees, which simplifies to y = 78° since they are supplementary angles).(z). Similar to the first variable's solution, z is the measure of ∠SHP, which is congruent to ∠JOP. Of the given information, we know ∠JOP = 29°. z° is the measure of its alternate, so it is congruent.
∠z = 29°Which of these choices show a pair of equivalent expressions? Check all that apply.
the answer is A.B
I mean the answer is a and b
Which expressions will help you find the surface area of this right triangular prism? Select all that apply.
38 × 45
1/2 × 36 × 45
45 × 36
1/2 × 36 × 38
Solve for x
x/8 = 3/5 give your answer as an improper fraction in its simplest form
Answer:
24/5
Step-by-step explanation:
x is 4.8, improper simplified is 24/5
Please help! I’m really confused on this question
Answer:
noncollinear
Step-by-step explanation:
my guess sorry if im wrong
Which of the following questions is a statistical question?
How many sticks of gum can you chew at one time?
Where can gum be purchased?
How many types of gum are there?
How many sticks of gum come in a standard pack?
"How many sticks of gum can you eat at one time?" is the finest and most right response. Then the correct option is A.
What are statistical questions?A statistical question is one that may be addressed by gathering data from several sources.
A statistical question is one that may be addressed by gathering data and in which the data is likely to vary. This is not the same as a question with a predetermined response.
The first choice or letter A, "How many sticks of gum can you eat at one time?" is the finest and most right response among the options supplied by your query.
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find 3 solutions for y=-2x-4
ttyuyuyuyuyuyuyuyuyhuhhss
Answer:
huhh
Step-by-step explanation:
Find the distance from point C to point B.
Enter as a decimal rounded to the nearest tenth.
A
C
CB = [?] m
56°
390 m
B
Enter
Answer:
578.2
Step-by-step explanation:
tan(56) = 1.48256096
1.48256096 * 390
578.1987744
CB=578.2m
What is the spread of the data?
:...
58 59 60 61 62 63 64 65 66 67
Number of people who ride
the morning ferry
OA. 59 to 61 people
OB. 59 to 64 people
OC. 61 to 64 people
OD. 58 to 67 people
ten students in Ashton class were randomly selected and asked how many phone call they made yesterday their answer where 1,0,10,2,9,15,0 and 3 find the mean of the data find the median of the data find the mode of the data find the range of the data
Answer:
Mean = 2.2
Median = 1
Mode = 0 and 1
Range = 9
Step-by-step explanation:
First arrange the number of calls from least to greatest.
0, 0, 0, 1, 1, 1, 2, 3, 5, 9
Mean is the average. Add the numbers together and divide by 10 since there are 10 numbers in total.
0 + 0 + 0 + 1 + 1 + 1 + 2 + 3 + 5 + 9 = 22
22/10 = 2.2
Mean = 2.2
Median is the middle number. Since there is an even amount of numbers, take the 5 and 6 number in the list, add them together and divide by 2. You are taking the average of the two numbers.
0, 0, 0, 1, 1, 1, 2, 3, 5, 9
1 + 1 = 2
2/2 = 1
Median = 1
Mode is the number that occurs the most.
0, 0, 0, 1, 1, 1, 2, 3, 5, 9
In the list the numbers 0 and 1 both occur 3 times.
Mode = 0 and 1
Range is the biggest number (9) minus the smallest number (0).
0, 0, 0, 1, 1, 1, 2, 3, 5, 9
9 - 0 = 9
Range = 9
An insurance company estimates that the value of a car depreciates by 20% each year (That also means it retains 80% of its value each year). The company used an exponential function to predict the value of a car, v, as a function of time, t, in years. Part A If the value of a brand new car is $32,000.00. Which expression can the company use to predict the value of the car? I need help plsssss
The expression, the company can use to predict the value of the car is v =32000 (0.8)^t
What is insurance company?The company which provides term life or accidental or death insurance in terms of money when one subjects to any of the conditions.
Given is an insurance company estimates that the value of a car depreciates by 20% each year (That also means it retains 80% of its value each year). The company used an exponential function to predict the value of a car, v, as a function of time, t, in years.
The rate of interest r in percentage = 100 - 20 = 80%
If the value of a brand new car is P =$32,000.00.
The value of car will be
value = P x r^t
v = $32,000 x(0.8)^t
Thus, this is the expression insurance company uses to find the value of car.
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Divide.
456 ÷ 7
64 R 1
64 R 2
65 R 1
65 R 2
i need help
Answer:
65 R 1
Step-by-step explanation:
A is the amount you pay for the purchase of a house that decreases the amount of the loan.
-closing payment
-closing cost
-origination payment
-down payment
The statement that completes the definition is (d) down payment
How to complete the definition?From the question, we have the following highlights:
The payment decreases the amount of loanThe payment is used for purchaseWhen a part payment is made to procure an item, the part payment is referred to as a down payment
The down payment fits the highlights (1) and (2) stated above
Hence, the statement that completes the definition is (d) down payment
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Convert MMCMLVII to Hindu-Arabic form
MMCMLVII in Hindu-Arabic is 2957
Counting in Hindu-ArabicThe Hindu-Arabic system uses the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 to count.
Analysis:
MM = 2000
+
CM = 900
+
L = 50
+
VII = 7
MMCMLVII = 2957
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what is the answer here
Answer:
120m²
Step-by-step explanation:
Area¹ = (6*5) = 30*2 surfaces = 60m²
Area² =(6*6) = 36m²
Area of Triangle =(1/2*4*6) = 12* 2 surfaces = 24m²
Total surface area = 60 + 36 + 24 = 120m²
=/120m²