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3 years ago

What is the area of the rhombus

Mathematics

1 answer:

Sindrei [870]3 years ago

6 0

Answer:

Step-by-step explanation:

area = length of the base x height

height = 9cm

length of the base = 11cm

area = 9 X 11

area = 99 $cm^{2}$

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Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is current

exis [7]

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

6 0

2 years ago

Amy wants to sell at most 25 cookies and at least 10 sprites

Inga [223]

Answer:

$x\leq 25\\y\geq 10\\.50x + y\geq 30$

Step-by-step explanation:

It is given that,

Amy wants to sell at most 25 cookies ,

Let number of cookies be ' $x$ ' , then $x$ should be less than or equal to 25

Which is represented by $x\leq 25$ ,

Further,

Let number of sprites be ' $y$ ', then ' $y$ ' should be greater than or equal to 10

Which is represented by $y\geq 10$

Also,

Given,

she profits $.50 on every cookie

and $1.00 on every sprite.

So total profit on selling cookies would be

= Profit on each cookie times the number of cookies

= $.50\times x$

= $.5x$

Similarly, total profit on selling sprites would be

=profit on each sprite times the number of sprites

= $1.00\times y$

= $y$

Now, combining these two should be greater than or equal to $30

representing this through an equation,

$.50x+y\geq 30$

Thus the sysytem of equations is given as:

$x\leq 25\\y\geq 10\\.50x + y\geq 30$

6 0

3 years ago

The data below shows the average number of text messages sent daily by a group of people: 7, 8, 4, 7, 5, 2, 5, 4, 5, 7, 4, 8, 2,

enot [183]

It all depends. You've given us an incredibly vague question.

The outlier could be a number that's low or quite high. Also, outliers
shouldn't really contribute towards the value of the mean, median or
range related to a group of data.

They are called outliers because they are bizarre results or numbers
and should be detached from groups of data. Outliers by definition
are abnormalities or anomalies.

I'd say outliers don't really change anything, unless you actually want
to give them credibility or weight.

Large outliers can inflate the value of means, medians and ranges.

Small outliers will invariably deflate the value of means and medians.

3 0

3 years ago

Read 2 more answers

Find the value of x in each case

Juli2301 [7.4K]

Answer:

Pag x na wag na balikan wag ka marupok siz

6 0

2 years ago

15 dived by 6 2/3 A) 2 3/4 B) 100 1/4 C) 2 1/4 D) 100

Lady bird [3.3K]

15 divided by 6 2/3 is 2.25. Or 2 1/4. Pick C

4 0

3 years ago