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Natalka [10]
3 years ago
9

Brad put 10 crickets in his pets lizard cage. After one day, Brad's lizard had eaten 50% of the crickets he had put in the cage.

By the end of the next day, the lizard had eaten 20% of the remaining crickets. How many crickets were left in the cage at the end of the second day?
Mathematics
2 answers:
Artemon [7]3 years ago
8 0

Answer:

There are 4 crickets left

Step-by-step explanation:

10/2=5

20% of 5 is 1

5-1=4

Don't forget to brainliest me

jeyben [28]3 years ago
4 0

Answer:

4 crickets

Step-by-step explanation:

On the first day, the lizard ate 50% of the 10 crickets it was given. 50% of 10 is 5 (10 times 0.5), so five crickets remain. The next day, the lizard ate 20% of the 5 remaining crickets. 20% of 5 is 1 (5 times 0.2), and 5-1=4, so 4 crickets are left.

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Find the annual percentage yield (APY) in the following situation. A bank offers an APR of 4.8% compounded daily. The annual per
sweet-ann [11.9K]

Answer:

4.92%

Step-by-step explanation:

First of all, recall that if you increase a number C in x%, then you will have C+\frac{x}{100}C=C(1+\frac{x}{100})

So <em>increasing a number in x% is equivalent to multiply it by (1+x/100) </em>

Now, suppose you have deposited $C where C is any amount > 0

If the bank offers an APR of 4.8% compounded daily, it means that your money increases \frac{4.8}{365}\%=\frac{0.048}{365} daily.

So, after 365 days you will have

C multiplied by (1+0.048/365) 356 times, that is

(1) C(1+\frac{0.048}{365})^{365}=C(\frac{365.048}{365})^{365}

Now, you want to find a value x, such that C increased in x% equals the amount in (1).That would be the percentage your money increased in one year (APY)

C(\frac{365.048}{365})^{365}=C(1+\frac{x}{100})\Rightarrow x=100[(\frac{365.048}{365})^{365}-1]

Computing this amount, we get

x = 4.92 rounded to the nearest hundreth.

And the bank is offering an APY of 4.92%

7 0
3 years ago
Which is traveling faster, a car whose velocity vector is 201 + 25), or a car whose velocity vector is 30i, assuming that the un
ioda

Answer with explanation:

For any object having the velocity vector as

\overrightarrow{v}=v_x\widehat{i}+v_y\widehat{j}+v_z\widehat{k}

the magnitude of velocity is given by

|v|=\sqrt{v_x^2+v_y^2+v_z^2}

For car 1 the velocity vector is

\overrightarrow{v}_1=20\widehat{i}+25\widehat{j}

Therefore

|v_1|=\sqrt{20^2+25^2}\\\\\therefore v_1=32.0156units

Similarly for car 2 we have

\overrightarrow{v}_2=30\widehat{i}

Therefore

|v_2|=\sqrt{30^2}\\\\\therefore v_2=30.0units

Comparing both the values we find that car 1 has the greater speed.

7 0
3 years ago
Alan hikes 4.5 miles in 3 hours. Determine whether quantities (distance and time) vary directly or inversely and find the consta
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V = x/t = 4.5 mil / 3 h = 1.5 mph
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3 0
3 years ago
Find each product mentally. show the steps you used.7 × 2.9
JulijaS [17]
Answer is 20.3 and the steps are:
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6 0
3 years ago
Determine whether or not 630 is a triangular number. start with the formula t n = n ( n + 1 ) 2 and then use the quadratic formu
ziro4ka [17]
Triangular sequence = n(n + 1)/2

If 630 is a triangular number, then:

n(n + 1)/2  = 630

Then n should be a positive whole number if 630 is a triangular number.

n(n + 1)/2  = 630

n(n + 1)  = 2*630

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n² + n = 1260

n² + n - 1260 = 0

By trial an error note that 1260 = 35 * 36

n² + n - 1260 = 0

Replace n with 36n - 35n

n² + 36n - 35n - 1260 = 0

n(n + 36) - 35(n + 36) = 0

(n + 36)(n - 35) = 0

n + 36 = 0   or   n - 35 = 0

n = 0 - 36,   or  n = 0 + 35

n = -36, or 35

n can not be negative. 

n = 35 is valid.

Since n is a positive whole number, that means 630 is a triangular number.

So the answer is True.
7 0
3 years ago
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