The exponential equations represents how long it will take for the account to grow to 1500 is y = 1000(b)^13.72
<h3>Exponential equations</h3>
Exponential equations are inverse of logarithmic equation. The standard exponential equation is expressed as;
y = ab^x
where
a is the base
x is the exponent
b is the rate
If Jennifer has a savings account that earns interest at a rate of 3% per year. Jennifer deposits 1000 into the account, the resulting exponential equation will be:
y = 1000(1.03)^x
If y = 1500, find the value of x
1500 = 1000(1.03)^x
1.5 = 1.03^x
ln1.5 = xln1.03
x = ln1.5/ln1.03
x = 13.72
Substitute to determine the equation
y = 1000(b)^13.72
Hence the exponential equations represents how long it will take for the account to grow to 1500 is y = 1000(b)^13.72
Learn more on exponential equation here: brainly.com/question/2456547
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Answer:
x < 2
Step-by-step explanation:
8x -1 < 15
8x -1 (+ 1) < 15 (+ 1)
8x < 16
x < 2
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The distance between two positions with longitudes A and B is given by ||A| - |B|| if the two positions are at the same side of the meridian (0 degrees longitude) and |A| + |B| if both positions are at different sides of the meridian.
Given that <span>Moscow is at 37.62 degrees longitude and Brasilia is at -47.87
degrees longitude, thus the two cities are at different sides of the meridian.
Therefore, the distance </span><span>(in degrees) between the longitude lines of Moscow and Brasilia</span> is |37.62| + |-47.87| = 37.62 + 47.87 = 85.49
Answer:
40 ft
Step-by-step explanation:
If two polygons are congruent to one another, therefore, it implies that the angles and sides of one is congruent to the corresponding sides and angles of the other.
Given that ABCD is congruent to EFGH, therefore:
CD ≅ GH
Since CD = 40 ft, therefore, GH will be 40 ft.
