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Kay [80]
3 years ago
6

The population of Bulgaria has been decreasing at the annual rate of 0.89%. if the population of Bulgaria was about 7,450,349 in

the year 2005 predict its population in the year 2015
Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Answer:

Step-by-step explanation:

Y=A(1-B)^X

Y=7,450,349(1-.0089)^10

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Lila collected the honey from 3 of her beehives. From the first hive she collected 2/3 gallon of honey. The last two hives yield
slamgirl [31]

Answer:

a). Lila collected 7/6 gallon in all.

b). She used for baking 5/12 gallon.

c) was left 1/3 gallon of honey

D) She used 3/8lb flour to make the brownies.

Step-by-step explanation:

a). Lila collected 7/6 gallon in all.

\frac{2}{3} +\frac{1}{4} +\frac{1}{4} \\

LCM=3*4=12

\frac{8+3+3}{12}=14/12=7/6

b). She used for baking 5/12 gallon.

She had 7/6 gallon of honey. She used 3/4 gallon for baking. To know how much honey was left, you have to substract 3/4 gallon from the total available honey 7/6 gallon.

\frac{7}{6}-\frac{3}{4}

You need to find LCM to substract fractions with different denominator:

LCM=12

\frac{14-9}{12}=\frac{5}{12}

c) was left 1/3 gallon of honey

To know how much honey was left you need to substract from the initial quantity of honey that is 3/4 gallon, the quantities used for baking, that are 1/6 gallon and 1/4 gallon.

Less common multiple: 12

\frac{3}{4}-\frac{1}{6} -\frac{1}{4}

We use LCM 12 to substract:

\frac{9-2-3}{12}=\frac{4}{12} =\frac{1}{3}

D) She used 3/8lb flour to make the brownies.

You know she used 1/2 lb flour to make the bread and to make cookies 1/8 more. So you need to do following math:

d)\frac{1}{2} +\frac{1}{8} =\frac{4+1}{8} =\frac{5}{8}

She used 5/8 to make cookies and she used 1/4 more to make cookies than brownies, then you have to do following math;

\frac{5}{8}-\frac{1}{4}=\frac{5-2}{8}=\frac{3}{8}

5 0
3 years ago
The Sweet Shoppe wishes to sell a special mix for Valentine’s Day that consists of Dark Chocolate that costs $4.00 per lb and Mi
Mashutka [201]

Answer: Quantity of Dark Chocolate used = 15 lb

 Quantity of Milk Chocolate used  = 35 lb

Step-by-step explanation:

Let x = Quantity of Dark Chocolate.

y =  Quantity of Milk Chocolate.

As per given , we have the following system of equations:

x+y= 50-------------(1)\\\\ 4x+2y=50\times2.60\\\\ 4x+2y=130-----------(2)

Multiply equation (1) by 2 , we get

2x+2y= 100-------(3)

Eliminate equation (3) from equation (2) , we get

2x=30\\\Rightarrow\ x=15

Put x= 15 in (1) , we get 15+y=50

⇒ y=35

Therefore , Quantity of Dark Chocolate used = 15 lb

 Quantity of Milk Chocolate used  = 35 lb

8 0
4 years ago
What is the explicit formula for this sequence?
tia_tia [17]

Answer:

D.

Step-by-step explanation:

r = 3

a1 = 2

Our explicit formula is an = a1 (r)^(n-1)

Simply plug in the terms

an = 2(3)^(n-1)

8 0
3 years ago
Read 2 more answers
A whole number has a 6 in the hundreds place, and all of its other digits are zero. If the 6 is moved from the hundreds place to
DaniilM [7]

Answer:

The original number is 10 times the new number.

Step-by-step explanation:

5 0
3 years ago
In 2006, 5,200 highway accidents were recorded in a city. The number of highway accidents increases by 5% every year. Let y repr
borishaifa [10]

Answer:

C. The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

Step-by-step explanation:

The initial number of accidents = 5200 = Po

It increases 5% every year.

So r = 5% = 0.05

y = Po(1 + r)^x

y = 5200(1 + 0.05)^x

y = 5200(1.05)^x

This sequence is an exponential. Which is a geometric sequence.

Answer: C. The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

Thank you.

5 0
3 years ago
Read 2 more answers
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