Answer: B
Step-by-step explanation: Skeletons serve as a scaffold which supports organs, anchors muscles, and protect organs such as, the brain, lung, heart, and spinal cord.
Sally invests £8000 in a savings account.
The account pays 2.8% compound interest per year.
Work out the value of her investment after 4 years.
Give your answer to the nearest penny.
Answer:
£8934.34
Step-by-step explanation:
[tex]8000 * 1.028^4 = 8934.34[/tex]
rounding to 2dp
if trunctuated at 2dp however, 8934.33
the number is multiplied by 1.028 to the power of four as you go through the equation four times, so it would be the same as
x * n * n * n * n, where it would simplify to x * n^4
At a middle school, 40% of seventh graders have taken
swimming lessons. If there are 250 studnets in the
seventh grade, how many of them have taken swimming
lessons?
Answer:
100
Step-by-step explanation:
y = % · x
y = 40% · 250
y = 0.40 · 250
y = 100
The sanctuary takes out a $12,500 loan to renovate its gift shop. At 5%
simple interest, how much would the sanctuary need to pay back in total after 10 years?
Answer:
20361.18283
Step-by-step explanation:
p(1+r/100)n
12500(1+5/100)power 10
i hope this answer helps a little bit.
Mary had $156.00 and spent 1/6 of it for a coat. She then bought a skirt with 1/4 the money she had left. How much money did she have left after buying her coat and skirt? Group of answer choices
Answer: $ 97.5
Step-by-step explanation:
156 * 1/6 = 26
156-26=130
130 * 1/4- 32.5
130-32.4= 97.5
Can someone help me please
Answer:9/40
Step-by-step explanation:
there is no use of hupotenuse as tanA = p/b
15.00 + 1.75x = 7.50 + 2.25
Sasha buys bagels for her garage sale customers she buys all the chocolate chip bagels and half of the plain bagels each bagel cost 2.50 how much does Sasha spend on bagels
The question is incomplete:
Sasha buys bagels for her garage sale customers she buys all the chocolate chip bagels and half of the plain bagels each bagel cost 2.50 how much does Sasha spend on bagels? The table that shows the types of bagels sold at the bagel shop on Friday is attached.
a. $70
b. $20
c. $90
d. $110
Answer:
c. $90
Step-by-step explanation:
First, you need to find the amount of bagels that Sasha purchased. The statement indicates that she buys all the chocolate chip bagels and the table shows that 28 chocolate chips bagels were sold, so that's the amount she purchased of this type of bagels. Also, the statement indicates that she buys half of the plain bagels and the table says that 16 plain bagels were sold, so you have to divide this amount by 2:
16/2=8
Then, you have to add the amount of chocolate chips bagels plus the amount of plain bagels that Sasha purchased:
28+8=36
Now that you know the amount of bagels that Sasha purchased, you have to multiply this for 2.50 that is the price per bagel:
36*2.50=90
According to this, the answer is that Sasha spends $90 on bagels.
Find the value of x and justify your answer
Answer:
a.
2x+4x+3x=180 sum of interior angle of the triangle is 180
9x=180
x=180/9=20
b.
x-20+x+10+x-20=180sum of interior angle of the triangle is 180
3x-30=180
3x=180+30
x=210/3=70
c.x+10+x+20+x=180 linear pair
3x+30=180
3x=180-30
x=150/3=50
Answer:
The picture is kinda blurry so I hope I've got it right.
a) x = 20°
b) x = 70°
c) x = 50°
Step-by-step explanation:
a) 2x + 3x + 4x = 180°
9x = 180°
x = 50°
b) (x - 20°) + (x - 20°) + (x + 10°) = 180°
3x - 30° = 180°
3x = 210°
x = 70°
c) (x + 10°) + (x + 20°) + x = 180°
3x + 30° = 180°
3x = 150°
x = 50°
Find the axis of symmetry. Question in pic. PLEASE HELP
Answer:
axis of symmetry is x = 1; vertex is (1,8)
Help me please thanks
Answer:
5/6
Step-by-step explanation:
(-6 - 4) / (3 * -4) [substitute a and b]
-10 / -12 [multiply the values in parenthesis]
5 / 6 [simplify by dividing by the common factor 2]
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]\frac{b+a}{3a} \\\\\frac{-6-4}{3(-4)} \\\\\frac{-10}{-12} \\\\\frac{5}{6}[/tex]
Translate the sentence into an inequality five substracted from the product of 8 and a number is at most 25 use the variable x for unknown number
Answer:
8x - 5 ≤ 25
Step-by-step explanation:
Given that the unknown number is x
product of 8 and a number is expressed as 8x
five substracted from the product of 8 and a number is expressed as 8x - 5
Since this expression is at most 25, the inequality sign that you are to use will be ≤ (less than or equal to) since it cannot be greater than 25. Hence the required inequality expression is 8x - 5 ≤ 25
How does h(t) change over the interval from t=0 to t 1
Answer:
h(-1)=-3 h(2)=12 average age of change =12-(-3)2
Step-by-step explanation:
What is the y-intercept of this line?
Answer:
(0, -3)
Step-by-step explanation:
because at that point is where the line crosses the y axis.
Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 14 grams?
y=a(.5)
Answer:
40.8 minutes
Step-by-step explanation:
Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 14 grams?
The formula to find how long it would take which is the time elapsed is given as:
t = t½ × In(Nt/No)/-In2
t = ?
t½ = 8 minutes
Nt = Amount after the time of decay = 14 grams
No = Original Amount of substances = 480 grams
t = 8 × In(14/480)/-In2
t = 40.796285388407 minutes
Approximately to the nearest tenth = 40.8 minutes
Therefore, it would take the element X, 40.8 minutes to decay to 14 grams
£250 in the ratio 3 : 5
Answer:
Let 3x and 2x are divided into 250.
Step-by-step explanation:
3x + 2x = 250
⇒ 5x = 250
⇒ x = = 50
∴ 3x = 3 × 50 = 150 and
2x = 2 × 50 = 100
Thus, the required numbers are 150 and 100.
Lauren woke up one morning and saw frost on the windows. It was -13°C outside. Later in the day, the frost melted. At 3 p.m. it was 4°C outside. Which expression represents the difference between the two temperatures?
Answer:
morning = -13°C
afternoon = 4°C
so,
x = (morning - afternoon)
I hope this helps a little bit.
The length of a plane is 18.4 metres Lucas buys a scale model plane The scale of the plane is 1 : 23
Answer:
423.2 is the length of the scale copy
Step-by-step explanation:
18.4 * 23 = 423.2 hope this helps!
Am I correct?? Please correct me
A pair of jeans and a T-shirt cost $50. If two such T-shirts cost $1 more than the pair of jeans, find the cost of the pair of jeans.
(I need the answer ASAP)
Simplify the expression.
30 - 7m + 5 + 16m
Answer:
[tex]35 + 9m[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex](30 + 5) + ( - 7m + 16m)[/tex]
2) Simplify.
[tex]35 + 9m[/tex]
Therefor, the answer is 35 + 9m.
Miguel is building a picture frame for his friend who has painted a family portrait. Miguel is making a square frame for the painting. He purchased a 3 foot
pine board to build the frame. He used 21 inches of the board to make the frame. How much wood would be used to create 1 side of the frame?
2. Write 6.07 x 10^7 in standard form
Please help me .
Answer:
60,700,000
Step-by-step explanation:
⇒10⁷ = 10000000
∴6.07 x10000000
=60,700,000
2. Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.
Working together, how long would it take them to frame in a room?
Answer:
4.5 hours
Step-by-step explanation:
to find the average/middle (how long it would take them when working together) you add both numbers and divide by two
4+5=9
9÷2= 4.5
hope this helps chu <3
The time take by them to the job together is 5 hours.
What is time taken?Time Taken = 1 / Rate of Work If a piece of work is done in x number of days, then the work done in one day = 1/x Total Wok Done = Number of Days × Efficiency.
Efficiency and Time are inversely proportional to each other.
Given that, Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.
We need to find the time taken by them if they work together,
So, the total hours taken by Sheila = 5 hours
So, she will do the work in 1 hour = 1/5 parts
Similarly, for David also, he will do in 1 hour = 1/4
Now, when they are working together in hour = 1/4 + 1/5
= 4+5 / 45 = 9/45 = 1/5
Since, there work in 1 hour = 1/5 units
That mean, they will do the whole work in 5 hours.
Hence, the time take by them to the job together is 5 hours.
Learn more about time taken, click;
https://brainly.com/question/16963199
#SPJ2
Josie watches a play at the theatre.
The play ends at 9:55 pm.
It takes Josie 15 minutes to get from her seat in the theatre to the bus stop.
Buses to Josie's home leave the bus top at the following times
18:25
19:25
20:25
21:05
21:25
22:05
22:25
a)
Write down the time of the earliest bus that Josie can catch.
b) How long will Josie have to wait at the bus stop for, if she catches the
earliest possible bus?
Answer:
22:25
She will wait for 15 min
Step-by-step explanation:
9:55 is 21:55 in 24h time
after 15 min it will be 22:10
the closest time will be 22:25
25-10 is 15
15 min waiting
What is the value of x rounded to the nearest hundredth?
ps this is a pythlly therom
Question 2 options:
68
92
54
75
Step-by-step explanation:
60x60+32x32=4624
✓4624
68
What do you want to be when you grow up? According to a nationwide survey of a random sample of 1000 kids under the age of 12 some kids want to be a ninja, a dragon keeper, a dancing unicom, and even an octopus. Fifty-five of the 1000 kids want to be a doctor. We would like to use this study to find a 98% confidence interval for the true proportion of kids who want to be a doctor.
a. Identify the parameter of interest.
b. Check if the conditions for constructing a confidence interval for p are met.
C. Find the critical value for a 98% confidence interval. Then calculate the interval
d. Interpret the interval in context
Using the z-distribution, we have that:
a) The parameter of interest is the proportion of kids who want to be a doctor.b) Since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.c) The critical value is [tex]z = 2.327[/tex]. The interval is (0.0339, 0.066).d) We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.Confidence interval of a proportionIn a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].Item a:
We are interested in the confidence interval for the true proportion of kids who want to be a doctor, hence the parameter of interest is the proportion of kids who want to be a doctor.
Item b:
Fifty-five of the 1000 kids want to be a doctor, hence, since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.
Item c:
Fifty-five of the 1000 kids want to be a doctor, hence [tex]n = 1000, \pi = \frac{55}{1000} = 0.055[/tex].98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so the critical value is [tex]z = 2.327[/tex].The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.0339[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.066[/tex]
The interval is (0.0339, 0.066).
Item d:
We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.
You can learn more about the use of the z-distribution to build a confidence interval at https://brainly.com/question/25649070
WILL GIVE BRAINLIEST Screen-printing a batch of shirts requires 4 minutes per shirt in addition to 10 minutes of initial set-up time. How long does it take to screen-print a batch of 17 shirts?
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What is the length of line AD?
1
Step-by-step explanation:
i am very beautiful yes i know it
1 + 1 = ? help now please asap!
Question:
1 + 1 = ? help now please asap!
Answer:
1 + 1 = 2
hope this helps :)
A triangle has side lengths of 14 cm and 7 cm. Which could be the value of the third side, 22 cm or 20 cm?
Answer:
Undefined, it can be 20 cm, 22 cm or any value.A triangle has no limitations for any of each three sides.
Step-by-step explanation:
How it works? The triangles have no limits on their sides, but by their angles. Each triangle sums 180 degrees at the inner angles. If you don't have specific values for the angles it is not necessary to get some values for the third side. It could be 1, 2, .... or even 1000.