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kolbaska11 [484]
3 years ago
6

A culture of bacteria doubles every hour. If there are 500 bacteria at the beginning, how many bacteria will there be after 24 h

ours?
Mathematics
1 answer:
Mama L [17]3 years ago
3 0
<span>8388608000. you will have to keep multiplying 2 24 times.</span>
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Simone invests 1200 into two savings accounts. One account earns 4% annual interest and the other earns 5.9% annual interest. At
Allisa [31]

Answer: He invested $350 at 4% and $850 at 5.9%

Step-by-step explanation:

Let x represent the amount which he invested in the account earning 4% interest.

Let y represent the amount which he invested in the account earning 5.9% interest.

Simone invests 1200 into two savings accounts. One account earns 4% annual interest and the other earns 5.9% annual interest. This means that

x + y = 1200

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account earning 4% interest,

P = $x

T = 1 year

R = 4℅

I = (x × 4 × 1)/100 = 0.04x

Considering the account earning 5.9% interest,

P = $y

T = 1 year

R = 5.9℅

I = (y × 5.9 × 1)/100 = 0.059y

At the end of 1 year, Simon earned 64.15 in interest. it means that

0.04x + 0.059y = 64.15 - - - - - - - - -1

Substituting x = 1200 - y into equation 1, it becomes

0.04(1200 - y) + 0.059y = 64.15

48 - 0.04y + 0.059y = 64.15

- 0.04y + 0.059y = 64.15 - 48

0.019y = 16.15

y = 16.15/0.019

y = 850

x = 1200 - y = 1200 - 850

x = 350

7 0
3 years ago
Which of the following is the correct formula for distance?(1 point) d=(x2−x1)+(y2−y1)−−−−−−−−−−−−−−−−−√, where d is the distanc
Afina-wow [57]

Answer:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

6 0
3 years ago
What is 1 - 1/6 * 3/2 =
kolezko [41]

1-1/6*3/2

multiply the two fractions

1/6*3/2

Cross out 3 and 6, divide by 3.

1/2 * 1/2

multiply the numerators together

1*1=1

multiply the denominators together

2*2=4

1-1/4

pretend that 1 has a denominator which is 1

1/1-1/4

find the common denominator for 1/1 which is 4

multiply by 4 for 1/1

1*4/1*4=4/4

4/4-1/4

Answer:

3/4

4 0
3 years ago
Nancy's garden has the dimensions shown 4 1/2 yard<br><br> 3 3/4 yd . She need find the area
Marina86 [1]

Answer:

The area of Nancy's garden is 16\frac{7}{8}\ yd^{2}

Step-by-step explanation:

I assume that the Nancy's garden is a rectangle shape

To find the area first convert mixed number to an improper fraction

4\frac{1}{2}\ yd=\frac{4*2+1}{2}=\frac{9}{2}\ yd

3\frac{3}{4}\ yd=\frac{3*4+3}{4}=\frac{15}{4}\ yd

Therefore

The area is equal to

A=\frac{9}{2}*\frac{15}{4}=\frac{135}{8}\ yd^{2}

convert to mixed number

\frac{135}{8}\ yd^{2=\frac{128}{8}+\frac{7}{8}=16\frac{7}{8}\ yd^{2}

4 0
3 years ago
The perimeter of a rectangle is 254 cm. Its length is 55 cm. What is the width of the rectangle with a variable?
Elanso [62]

Answer:

Rectangle w=72

Step-by-step explanation:

Rectangle

Solve for 

width

w

=

72

cm

l

Length

cm

P

Perimeter

cm

5 0
3 years ago
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